100212133131102 has 32 divisors (see below), whose sum is σ = 208259694802944. Its totient is φ = 32112411804000.

The previous prime is 100212133131083. The next prime is 100212133131139. The reversal of 100212133131102 is 201131331212001.

It is a super-2 number, since 2×100212133131102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783994793 + ... + 1784050964.

It is an arithmetic number, because the mean of its divisors is an integer number (6508115462592).

Almost surely, 2^{100212133131102} is an apocalyptic number.

100212133131102 is an abundant number, since it is smaller than the sum of its proper divisors (108047561671842).

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

100212133131102 is a wasteful number, since it uses less digits than its factorization.

100212133131102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568045944.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 100212133131102 its reverse (201131331212001), we get a palindrome (301343464343103).

The spelling of 100212133131102 in words is "one hundred trillion, two hundred twelve billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred two".