121210101000 has 512 divisors, whose sum is σ = 447924672000. Its totient is φ = 30611001600.

The previous prime is 121210100959. The next prime is 121210101011. The reversal of 121210101000 is 101012121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41551542 + ... + 41554458.

It is an arithmetic number, because the mean of its divisors is an integer number (874852875).

Almost surely, 2^121210101000 is an apocalyptic number.

121210101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121210101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223962336000).

121210101000 is an abundant number, since it is smaller than the sum of its proper divisors (326714571000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121210101000 is an equidigital number, since it uses as much as digits as its factorization.

121210101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121210101000 its reverse (101012121), we get a palindrome (121311113121).

The spelling of 121210101000 in words is "one hundred twenty-one billion, two hundred ten million, one hundred one thousand".