102001140511821 has 12 divisors (see below), whose sum is σ = 147336900886240. Its totient is φ = 67999874119560.

The previous prime is 102001140511807. The next prime is 102001140511871. The reversal of 102001140511821 is 128115041100201.

102001140511821 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 1 + 140 + 511 + 8 + 2 + 1 = 666.

It is not a de Polignac number, because 102001140511821 - 2¹³ = 102001140503629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001140511801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73122481 + ... + 74504358.

Almost surely, 2^{102001140511821} is an apocalyptic number.

It is an amenable number.

102001140511821 is a deficient number, since it is larger than the sum of its proper divisors (45335760374419).

102001140511821 is a wasteful number, since it uses less digits than its factorization.

102001140511821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147703616 (or 147703613 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The spelling of 102001140511821 in words is "one hundred two trillion, one billion, one hundred forty million, five hundred eleven thousand, eight hundred twenty-one".