10102700404060 has 96 divisors (see below), whose sum is σ = 23469566162112. Its totient is φ = 3622125496320.

The previous prime is 10102700404057. The next prime is 10102700404061. The reversal of 10102700404060 is 6040400720101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102700404061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46739194 + ... + 46954846.

It is an arithmetic number, because the mean of its divisors is an integer number (244474647522).

Almost surely, 2^{10102700404060} is an apocalyptic number.

10102700404060 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 10102700404060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734783081056).

10102700404060 is an abundant number, since it is smaller than the sum of its proper divisors (13366865758052).

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

10102700404060 is a wasteful number, since it uses less digits than its factorization.

10102700404060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218663 (or 218661 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 10102700404060 in words is "ten trillion, one hundred two billion, seven hundred million, four hundred four thousand, sixty".