100421722913952 has 384 divisors, whose sum is σ = 309507841843200. Its totient is φ = 28199441571840.

The previous prime is 100421722913903. The next prime is 100421722913957. The reversal of 100421722913952 is 259319227124001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (100421722913957) 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, 209147049 + ... + 209626647.

It is an arithmetic number, because the mean of its divisors is an integer number (806010004800).

Almost surely, 2^{100421722913952} is an apocalyptic number.

100421722913952 is a gapful number since it is divisible by the number (12) 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 100421722913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154753920921600).

100421722913952 is an abundant number, since it is smaller than the sum of its proper divisors (209086118929248).

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

100421722913952 is a wasteful number, since it uses less digits than its factorization.

100421722913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479916 (or 479908 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 100421722913952 in words is "one hundred trillion, four hundred twenty-one billion, seven hundred twenty-two million, nine hundred thirteen thousand, nine hundred fifty-two".