101211110100 has 108 divisors (see below), whose sum is σ = 318902088960. Its totient is φ = 26848276800.

The previous prime is 101211110069. The next prime is 101211110107. The reversal of 101211110100 is 1011112101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211110107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122490 + ... + 466289.

It is an arithmetic number, because the mean of its divisors is an integer number (2952797120).

Almost surely, 2^101211110100 is an apocalyptic number.

101211110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211110100 is an abundant number, since it is smaller than the sum of its proper divisors (217690978860).

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

101211110100 is a wasteful number, since it uses less digits than its factorization.

101211110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588990 (or 588980 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101211110100 its reverse (1011112101), we get a palindrome (102222222201).

The spelling of 101211110100 in words is "one hundred one billion, two hundred eleven million, one hundred ten thousand, one hundred".