101102001100212 has 96 divisors (see below), whose sum is σ = 270000272281600. Its totient is φ = 28843979409792.

The previous prime is 101102001100211. The next prime is 101102001100237. The reversal of 101102001100212 is 212001100201101.

101102001100212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101102001100212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102001100211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654987339 + ... + 655141677.

Almost surely, 2^{101102001100212} is an apocalyptic number.

101102001100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101102001100212 is an abundant number, since it is smaller than the sum of its proper divisors (168898271181388).

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

101102001100212 is a wasteful number, since it uses less digits than its factorization.

101102001100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165725 (or 165723 counting only the distinct ones).

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

Adding to 101102001100212 its reverse (212001100201101), we get a palindrome (313103101301313).

The spelling of 101102001100212 in words is "one hundred one trillion, one hundred two billion, one million, one hundred thousand, two hundred twelve".