101012111122120 has 96 divisors (see below), whose sum is σ = 249836066859960. Its totient is φ = 36728894259200.

The previous prime is 101012111122103. The next prime is 101012111122121. The reversal of 101012111122120 is 21221111210101.

It can be written as a sum of positive squares in 4 ways, for example, as 91549953694276 + 9462157427844 = 9568174^2 + 3076062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101012111122094 and 101012111122103.

It is not an unprimeable number, because it can be changed into a prime (101012111122121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63651090 + ... + 65218750.

Almost surely, 2^{101012111122120} is an apocalyptic number.

101012111122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012111122120 is an abundant number, since it is smaller than the sum of its proper divisors (148823955737840).

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

101012111122120 is a wasteful number, since it uses less digits than its factorization.

101012111122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581007 (or 1580992 counting only the distinct ones).

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

Adding to 101012111122120 its reverse (21221111210101), we get a palindrome (122233222332221).

The spelling of 101012111122120 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".