100213201121231 has 32 divisors (see below), whose sum is σ = 113668497524736. Its totient is φ = 87558587584000.

The previous prime is 100213201121227. The next prime is 100213201121261. The reversal of 100213201121231 is 132121102312001.

It is a cyclic number.

It is not a de Polignac number, because 100213201121231 - 2² = 100213201121227 is a prime.

It is a super-2 number, since 2×100213201121231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213201121261) 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, 1903586 + ... + 14284608.

It is an arithmetic number, because the mean of its divisors is an integer number (3552140547648).

Almost surely, 2^{100213201121231} is an apocalyptic number.

100213201121231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100213201121231 is a deficient number, since it is larger than the sum of its proper divisors (13455296403505).

100213201121231 is a wasteful number, since it uses less digits than its factorization.

100213201121231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12381343.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100213201121231 its reverse (132121102312001), we get a palindrome (232334303433232).

The spelling of 100213201121231 in words is "one hundred trillion, two hundred thirteen billion, two hundred one million, one hundred twenty-one thousand, two hundred thirty-one".