10201414141120 has 56 divisors (see below), whose sum is σ = 25075734139008. Its totient is φ = 3948934502400.

The previous prime is 10201414141103. The next prime is 10201414141153. The reversal of 10201414141120 is 2114141410201.

It is a junction number, because it is equal to n+sod(n) for n = 10201414141091 and 10201414141100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514174261 + ... + 514194100.

It is an arithmetic number, because the mean of its divisors is an integer number (447780966768).

Almost surely, 2^{10201414141120} is an apocalyptic number.

10201414141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201414141120 is an abundant number, since it is smaller than the sum of its proper divisors (14874319997888).

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

10201414141120 is a wasteful number, since it uses less digits than its factorization.

10201414141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028368409 (or 1028368399 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 10201414141120 its reverse (2114141410201), we get a palindrome (12315555551321).

The spelling of 10201414141120 in words is "ten trillion, two hundred one billion, four hundred fourteen million, one hundred forty-one thousand, one hundred twenty".