102041202202400 has 144 divisors (see below), whose sum is σ = 273619865332800. Its totient is φ = 36987016872960.

The previous prime is 102041202202399. The next prime is 102041202202409. The reversal of 102041202202400 is 4202202140201.

It is a super-2 number, since 2×102041202202400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102041202202409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145590335 + ... + 146289534.

It is an arithmetic number, because the mean of its divisors is an integer number (1900137953700).

Almost surely, 2^{102041202202400} is an apocalyptic number.

102041202202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102041202202400 is an abundant number, since it is smaller than the sum of its proper divisors (171578663130400).

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

102041202202400 is a wasteful number, since it uses less digits than its factorization.

102041202202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291879931 (or 291879918 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102041202202400 its reverse (4202202140201), we get a palindrome (106243404342601).

The spelling of 102041202202400 in words is "one hundred two trillion, forty-one billion, two hundred two million, two hundred two thousand, four hundred".