201412040013100 has 72 divisors (see below), whose sum is σ = 525791430805760. Its totient is φ = 65421053593920.

The previous prime is 201412040013071. The next prime is 201412040013227. The reversal of 201412040013100 is 1310040214102.

It is a super-2 number, since 2×201412040013100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7571867904 + ... + 7571894503.

Almost surely, 2^{201412040013100} is an apocalyptic number.

201412040013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201412040013100 is an abundant number, since it is smaller than the sum of its proper divisors (324379390792660).

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

201412040013100 is a wasteful number, since it uses less digits than its factorization.

201412040013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143762447 (or 15143762440 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 201412040013100 its reverse (1310040214102), we get a palindrome (202722080227202).

The spelling of 201412040013100 in words is "two hundred one trillion, four hundred twelve billion, forty million, thirteen thousand, one hundred".