100402021140 has 192 divisors, whose sum is σ = 297247104000. Its totient is φ = 25285478400.

The previous prime is 100402021129. The next prime is 100402021147. The reversal of 100402021140 is 41120204001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100402021147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14979790 + ... + 14986490.

It is an arithmetic number, because the mean of its divisors is an integer number (1548162000).

Almost surely, 2^100402021140 is an apocalyptic number.

100402021140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100402021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148623552000).

100402021140 is an abundant number, since it is smaller than the sum of its proper divisors (196845082860).

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

100402021140 is a wasteful number, since it uses less digits than its factorization.

100402021140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100402021140 its reverse (41120204001), we get a palindrome (141522225141).

The spelling of 100402021140 in words is "one hundred billion, four hundred two million, twenty-one thousand, one hundred forty".