101211002100021 has 64 divisors (see below), whose sum is σ = 150652353890304. Its totient is φ = 59918754604800.

The previous prime is 101211002100007. The next prime is 101211002100041. The reversal of 101211002100021 is 120001200112101.

It is a de Polignac number, because none of the positive numbers 2^k-101211002100021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211002100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528247386 + ... + 528438948.

It is an arithmetic number, because the mean of its divisors is an integer number (2353943029536).

Almost surely, 2^{101211002100021} is an apocalyptic number.

101211002100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211002100021 is a deficient number, since it is larger than the sum of its proper divisors (49441351790283).

101211002100021 is a wasteful number, since it uses less digits than its factorization.

101211002100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192954.

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

Adding to 101211002100021 its reverse (120001200112101), we get a palindrome (221212202212122).

The spelling of 101211002100021 in words is "one hundred one trillion, two hundred eleven billion, two million, one hundred thousand, twenty-one".