101102000222120 has 16 divisors (see below), whose sum is σ = 227479500499860. Its totient is φ = 40440800088832.

The previous prime is 101102000222099. The next prime is 101102000222123. The reversal of 101102000222120 is 21222000201101.

It can be written as a sum of positive squares in 2 ways, for example, as 100386653030596 + 715347191524 = 10019314^2 + 845782^2 .

It is a super-2 number, since 2×101102000222120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102000222095 and 101102000222104.

It is not an unprimeable number, because it can be changed into a prime (101102000222123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1263775002737 + ... + 1263775002816.

Almost surely, 2^{101102000222120} is an apocalyptic number.

101102000222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102000222120 is an abundant number, since it is smaller than the sum of its proper divisors (126377500277740).

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

101102000222120 is a wasteful number, since it uses less digits than its factorization.

101102000222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527550005564 (or 2527550005560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101102000222120 its reverse (21222000201101), we get a palindrome (122324000423221).

The spelling of 101102000222120 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two thousand, one hundred twenty".