101012212000100 has 18 divisors (see below), whose sum is σ = 219196500040434. Its totient is φ = 40404884800000.

The previous prime is 101012212000043. The next prime is 101012212000103. The reversal of 101012212000100 is 1000212210101.

It can be written as a sum of positive squares in 3 ways, for example, as 6194045798656 + 94818166201444 = 2488784^2 + 9737462^2 .

It is not an unprimeable number, because it can be changed into a prime (101012212000103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505061059901 + ... + 505061060100.

Almost surely, 2^{101012212000100} is an apocalyptic number.

101012212000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012212000100 is an abundant number, since it is smaller than the sum of its proper divisors (118184288040334).

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

101012212000100 is a wasteful number, since it uses less digits than its factorization.

101012212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010122120015 (or 1010122120008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012212000100 its reverse (1000212210101), we get a palindrome (102012424210201).

The spelling of 101012212000100 in words is "one hundred one trillion, twelve billion, two hundred twelve million, one hundred", and thus it is an aban number.