102152252112240 has 160 divisors (see below), whose sum is σ = 345675062880000. Its totient is φ = 24748790261760.

The previous prime is 102152252112179. The next prime is 102152252112259. The reversal of 102152252112240 is 42211252251201.

It is a happy number.

It is a super-2 number, since 2×102152252112240² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102152252112198 and 102152252112207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7776490 + ... + 16272009.

It is an arithmetic number, because the mean of its divisors is an integer number (2160469143000).

Almost surely, 2^{102152252112240} is an apocalyptic number.

102152252112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102152252112240 is an abundant number, since it is smaller than the sum of its proper divisors (243522810767760).

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

102152252112240 is a wasteful number, since it uses less digits than its factorization.

102152252112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24050135 (or 24050129 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 102152252112240 in words is "one hundred two trillion, one hundred fifty-two billion, two hundred fifty-two million, one hundred twelve thousand, two hundred forty".