101012112001020 has 96 divisors (see below), whose sum is σ = 308548043548416. Its totient is φ = 24487629491200.

The previous prime is 101012112000991. The next prime is 101012112001027. The reversal of 101012112001020 is 20100211210101.

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 = 101012112000987 and 101012112001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012112001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130463635 + ... + 131235605.

It is an arithmetic number, because the mean of its divisors is an integer number (3214042120296).

Almost surely, 2^{101012112001020} is an apocalyptic number.

101012112001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012112001020 is an abundant number, since it is smaller than the sum of its proper divisors (207535931547396).

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

101012112001020 is a wasteful number, since it uses less digits than its factorization.

101012112001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970251 (or 970249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012112001020 its reverse (20100211210101), we get a palindrome (121112323211121).

The spelling of 101012112001020 in words is "one hundred one trillion, twelve billion, one hundred twelve million, one thousand, twenty".