101211221112100 has 72 divisors (see below), whose sum is σ = 243522343322496. Its totient is φ = 36200734800000.

The previous prime is 101211221112037. The next prime is 101211221112101. The reversal of 101211221112100 is 1211122112101.

It is a super-2 number, since 2×101211221112100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211221112101) 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, 754114876 + ... + 754249075.

It is an arithmetic number, because the mean of its divisors is an integer number (3382254768368).

Almost surely, 2^{101211221112100} is an apocalyptic number.

101211221112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211221112100 is an abundant number, since it is smaller than the sum of its proper divisors (142311122210396).

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

101211221112100 is a wasteful number, since it uses less digits than its factorization.

101211221112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508364037 (or 1508364030 counting only the distinct ones).

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

Adding to 101211221112100 its reverse (1211122112101), we get a palindrome (102422343224201).

The spelling of 101211221112100 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".