10102400101140 has 96 divisors (see below), whose sum is σ = 28563130552320. Its totient is φ = 2667651839616.

The previous prime is 10102400101117. The next prime is 10102400101159. The reversal of 10102400101140 is 4110100420101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123058387 + ... + 123140453.

It is an arithmetic number, because the mean of its divisors is an integer number (297532609920).

Almost surely, 2^{10102400101140} is an apocalyptic number.

10102400101140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102400101140 is an abundant number, since it is smaller than the sum of its proper divisors (18460730451180).

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

10102400101140 is a wasteful number, since it uses less digits than its factorization.

10102400101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102101 (or 102099 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102400101140 its reverse (4110100420101), we get a palindrome (14212500521241).

The spelling of 10102400101140 in words is "ten trillion, one hundred two billion, four hundred million, one hundred one thousand, one hundred forty".