102400041012001 has 16 divisors (see below), whose sum is σ = 102768035872320. Its totient is φ = 102032517565440.

The previous prime is 102400041011951. The next prime is 102400041012053. The reversal of 102400041012001 is 100210140004201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102400041012001 - 2¹¹ = 102400041009953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102400041012601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2630952021 + ... + 2630990941.

It is an arithmetic number, because the mean of its divisors is an integer number (6423002242020).

Almost surely, 2^{102400041012001} is an apocalyptic number.

It is an amenable number.

102400041012001 is a deficient number, since it is larger than the sum of its proper divisors (367994860319).

102400041012001 is a wasteful number, since it uses less digits than its factorization.

102400041012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44736.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102400041012001 its reverse (100210140004201), we get a palindrome (202610181016202).

The spelling of 102400041012001 in words is "one hundred two trillion, four hundred billion, forty-one million, twelve thousand, one".