101120100010120 has 64 divisors (see below), whose sum is σ = 228198633739200. Its totient is φ = 40327457245440.

The previous prime is 101120100010103. The next prime is 101120100010159. The reversal of 101120100010120 is 21010001021101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101120100010097 and 101120100010106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140954491 + ... + 141670069.

It is an arithmetic number, because the mean of its divisors is an integer number (3565603652175).

Almost surely, 2^{101120100010120} is an apocalyptic number.

101120100010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120100010120 is an abundant number, since it is smaller than the sum of its proper divisors (127078533729080).

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

101120100010120 is a wasteful number, since it uses less digits than its factorization.

101120100010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726118 (or 726114 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101120100010120 its reverse (21010001021101), we get a palindrome (122130101031221).

The spelling of 101120100010120 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, ten thousand, one hundred twenty".