3125077022100 has 144 divisors (see below), whose sum is σ = 9871463185920. Its totient is φ = 757011964800.

The previous prime is 3125077022099. The next prime is 3125077022117. The reversal of 3125077022100 is 12207705213.

It is a super-2 number, since 2×3125077022100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3936511 + ... + 4663289.

It is an arithmetic number, because the mean of its divisors is an integer number (68551827680).

Almost surely, 2^{3125077022100} is an apocalyptic number.

3125077022100 is a gapful number since it is divisible by the number (30) 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 3125077022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935731592960).

3125077022100 is an abundant number, since it is smaller than the sum of its proper divisors (6746386163820).

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

3125077022100 is a wasteful number, since it uses less digits than its factorization.

3125077022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728110 (or 728103 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 3125077022100 in words is "three trillion, one hundred twenty-five billion, seventy-seven million, twenty-two thousand, one hundred".