100212122021013 has 24 divisors (see below), whose sum is σ = 145162924133760. Its totient is φ = 66617895294720.

The previous prime is 100212122020961. The next prime is 100212122021017. The reversal of 100212122021013 is 310120221212001.

100212122021013 is a `hidden beast` number, since 10 + 0 + 212 + 1 + 220 + 210 + 13 = 666.

It is not a de Polignac number, because 100212122021013 - 2¹² = 100212122016917 is a prime.

It is a super-2 number, since 2×100212122021013² (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 (100212122021017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286934148 + ... + 287283186.

It is an arithmetic number, because the mean of its divisors is an integer number (6048455172240).

Almost surely, 2^{100212122021013} is an apocalyptic number.

It is an amenable number.

100212122021013 is a deficient number, since it is larger than the sum of its proper divisors (44950802112747).

100212122021013 is a wasteful number, since it uses less digits than its factorization.

100212122021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439769 (or 439766 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100212122021013 its reverse (310120221212001), we get a palindrome (410332343233014).

The spelling of 100212122021013 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, twenty-one thousand, thirteen".