21410100101412 has 72 divisors (see below), whose sum is σ = 60412995683040. Its totient is φ = 6337027509120.

The previous prime is 21410100101381. The next prime is 21410100101413.

21410100101412 is a `hidden beast` number, since 2 + 1 + 410 + 100 + 10 + 141 + 2 = 666.

21410100101412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21410100101413) 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, 628656337 + ... + 628690392.

Almost surely, 2^{21410100101412} is an apocalyptic number.

21410100101412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21410100101412 is an abundant number, since it is smaller than the sum of its proper divisors (39002895581628).

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

21410100101412 is a wasteful number, since it uses less digits than its factorization.

21410100101412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257346793 (or 1257346788 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 21410100 and 101412, that added together give a palindrome (21511512).

The spelling of 21410100101412 in words is "twenty-one trillion, four hundred ten billion, one hundred million, one hundred one thousand, four hundred twelve".