101011102120 has 32 divisors (see below), whose sum is σ = 227401335720. Its totient is φ = 40381977600.

The previous prime is 101011102091. The next prime is 101011102207. The reversal of 101011102120 is 21201110101.

It can be written as a sum of positive squares in 4 ways, for example, as 78320500164 + 22690601956 = 279858^2 + 150634^2 .

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 = 101011102097 and 101011102106.

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, 629037 + ... + 773116.

Almost surely, 2^101011102120 is an apocalyptic number.

101011102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011102120 is an abundant number, since it is smaller than the sum of its proper divisors (126390233600).

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

101011102120 is a wasteful number, since it uses less digits than its factorization.

101011102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403965 (or 1403961 counting only the distinct ones).

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

Adding to 101011102120 its reverse (21201110101), we get a palindrome (122212212221).

The spelling of 101011102120 in words is "one hundred one billion, eleven million, one hundred two thousand, one hundred twenty".