100102403157372 has 768 divisors, whose sum is σ = 346771100712960. Its totient is φ = 24174426931200.

The previous prime is 100102403157359. The next prime is 100102403157373. The reversal of 100102403157372 is 273751304201001.

100102403157372 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 2 + 4 + 0 + 3 + 1 + 573 + 72 = 666.

It is a super-2 number, since 2×100102403157372² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102403157373) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4904325847 + ... + 4904346257.

It is an arithmetic number, because the mean of its divisors is an integer number (451524870720).

Almost surely, 2^{100102403157372} is an apocalyptic number.

100102403157372 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 100102403157372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173385550356480).

100102403157372 is an abundant number, since it is smaller than the sum of its proper divisors (246668697555588).

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

100102403157372 is a wasteful number, since it uses less digits than its factorization.

100102403157372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20879 (or 20871 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 100102403157372 its reverse (273751304201001), we get a palindrome (373853707358373).

The spelling of 100102403157372 in words is "one hundred trillion, one hundred two billion, four hundred three million, one hundred fifty-seven thousand, three hundred seventy-two".