101022110120 has 32 divisors (see below), whose sum is σ = 227309413320. Its totient is φ = 40407125760.

The previous prime is 101022110099. The next prime is 101022110129. The reversal of 101022110120 is 21011220101.

It can be written as a sum of positive squares in 4 ways, for example, as 86599541284 + 14422568836 = 294278^2 + 120094^2 .

It is a super-3 number, since 3×101022110120³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101022110129) 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, 1354934 + ... + 1427546.

Almost surely, 2^101022110120 is an apocalyptic number.

101022110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022110120 is an abundant number, since it is smaller than the sum of its proper divisors (126287303200).

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

101022110120 is a wasteful number, since it uses less digits than its factorization.

101022110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107405 (or 107401 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101022110120 its reverse (21011220101), we get a palindrome (122033330221).

The spelling of 101022110120 in words is "one hundred one billion, twenty-two million, one hundred ten thousand, one hundred twenty".