101020101121010 has 16 divisors (see below), whose sum is σ = 181836299480472. Its totient is φ = 40408014345600.

The previous prime is 101020101121001. The next prime is 101020101121013. The reversal of 101020101121010 is 10121101020101.

It can be written as a sum of positive squares in 4 ways, for example, as 100447038494929 + 573062626081 = 10022327^2 + 757009^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101020101120982 and 101020101121000.

It is not an unprimeable number, because it can be changed into a prime (101020101121013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23251340 + ... + 27251880.

Almost surely, 2^{101020101121010} is an apocalyptic number.

101020101121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101020101121010 is a deficient number, since it is larger than the sum of its proper divisors (80816198359462).

101020101121010 is a wasteful number, since it uses less digits than its factorization.

101020101121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525709.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101020101121010 its reverse (10121101020101), we get a palindrome (111141202141111).

The spelling of 101020101121010 in words is "one hundred one trillion, twenty billion, one hundred one million, one hundred twenty-one thousand, ten".