101012321212100 has 72 divisors (see below), whose sum is σ = 228730874245440. Its totient is φ = 38647542890880.

The previous prime is 101012321212087. The next prime is 101012321212129. The reversal of 101012321212100 is 1212123210101.

It is a happy number.

It is a super-2 number, since 2×101012321212100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149782259 + ... + 150455141.

Almost surely, 2^{101012321212100} is an apocalyptic number.

101012321212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012321212100 is an abundant number, since it is smaller than the sum of its proper divisors (127718553033340).

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

101012321212100 is a wasteful number, since it uses less digits than its factorization.

101012321212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738189 (or 738182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101012321212100 its reverse (1212123210101), we get a palindrome (102224444422201).

The spelling of 101012321212100 in words is "one hundred one trillion, twelve billion, three hundred twenty-one million, two hundred twelve thousand, one hundred".