12602641606100 has 288 divisors, whose sum is σ = 34584879759360. Its totient is φ = 3878885283840.

The previous prime is 12602641606081. The next prime is 12602641606129. The reversal of 12602641606100 is 160614620621.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820530221 + ... + 820545579.

Almost surely, 2^{12602641606100} is an apocalyptic number.

12602641606100 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 12602641606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292439879680).

12602641606100 is an abundant number, since it is smaller than the sum of its proper divisors (21982238153260).

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

12602641606100 is a wasteful number, since it uses less digits than its factorization.

12602641606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17867 (or 17860 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 12602641606100 in words is "twelve trillion, six hundred two billion, six hundred forty-one million, six hundred six thousand, one hundred".