201214024101000 has 256 divisors, whose sum is σ = 720043306444800. Its totient is φ = 51926199552000.

The previous prime is 201214024100993. The next prime is 201214024101037. The reversal of 201214024101000 is 101420412102.

201214024101000 is a `hidden beast` number, since 2 + 0 + 12 + 140 + 2 + 410 + 100 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119362537 + ... + 121036536.

It is an arithmetic number, because the mean of its divisors is an integer number (2812669165800).

Almost surely, 2^{201214024101000} is an apocalyptic number.

201214024101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201214024101000 is an abundant number, since it is smaller than the sum of its proper divisors (518829282343800).

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

201214024101000 is a wasteful number, since it uses less digits than its factorization.

201214024101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240399134 (or 240399114 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201214024101000 its reverse (101420412102), we get a palindrome (201315444513102).

The spelling of 201214024101000 in words is "two hundred one trillion, two hundred fourteen billion, twenty-four million, one hundred one thousand".