101102022120 has 128 divisors (see below), whose sum is σ = 334155818880. Its totient is φ = 24266880000.

The previous prime is 101102022061. The next prime is 101102022191. The reversal of 101102022120 is 21220201101.

It is a super-3 number, since 3×101102022120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101102022096 and 101102022105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245851 + ... + 512490.

It is an arithmetic number, because the mean of its divisors is an integer number (2610592335).

Almost surely, 2^101102022120 is an apocalyptic number.

101102022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102022120 is an abundant number, since it is smaller than the sum of its proper divisors (233053796760).

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

101102022120 is a wasteful number, since it uses less digits than its factorization.

101102022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758467 (or 758463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101102022120 its reverse (21220201101), we get a palindrome (122322223221).

The spelling of 101102022120 in words is "one hundred one billion, one hundred two million, twenty-two thousand, one hundred twenty".