101211022101100 has 36 divisors (see below), whose sum is σ = 220334117120208. Its totient is φ = 40354233880000.

The previous prime is 101211022101073. The next prime is 101211022101113. The reversal of 101211022101100 is 1101220112101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627155751 + ... + 1627217950.

It is an arithmetic number, because the mean of its divisors is an integer number (6120392142228).

Almost surely, 2^{101211022101100} is an apocalyptic number.

101211022101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211022101100 is an abundant number, since it is smaller than the sum of its proper divisors (119123095019108).

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

101211022101100 is a wasteful number, since it uses less digits than its factorization.

101211022101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254374026 (or 3254374019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101211022101100 its reverse (1101220112101), we get a palindrome (102312242213201).

The spelling of 101211022101100 in words is "one hundred one trillion, two hundred eleven billion, twenty-two million, one hundred one thousand, one hundred".