102261655100 has 72 divisors (see below), whose sum is σ = 242270410368. Its totient is φ = 37156996800.

The previous prime is 102261655081. The next prime is 102261655127. The reversal of 102261655100 is 1556162201.

It is a happy number.

It is a super-2 number, since 2×102261655100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397627 + ... + 1468973.

Almost surely, 2^102261655100 is an apocalyptic number.

102261655100 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 102261655100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121135205184).

102261655100 is an abundant number, since it is smaller than the sum of its proper divisors (140008755268).

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

102261655100 is a wasteful number, since it uses less digits than its factorization.

102261655100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72675 (or 72668 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 102261655100 in words is "one hundred two billion, two hundred sixty-one million, six hundred fifty-five thousand, one hundred".