101102111022120 has 128 divisors (see below), whose sum is σ = 328800753066240. Its totient is φ = 24721861017600.

The previous prime is 101102111022089. The next prime is 101102111022179. The reversal of 101102111022120 is 21220111201101.

It is a happy number.

It is a super-2 number, since 2×101102111022120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101102111022120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214363929 + ... + 214835048.

It is an arithmetic number, because the mean of its divisors is an integer number (2568755883330).

Almost surely, 2^{101102111022120} is an apocalyptic number.

101102111022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102111022120 is an abundant number, since it is smaller than the sum of its proper divisors (227698642044120).

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

101102111022120 is a wasteful number, since it uses less digits than its factorization.

101102111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429199155 (or 429199151 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101102111022120 its reverse (21220111201101), we get a palindrome (122322222223221).

The spelling of 101102111022120 in words is "one hundred one trillion, one hundred two billion, one hundred eleven million, twenty-two thousand, one hundred twenty".