102126131652240 has 120 divisors (see below), whose sum is σ = 343030664328768. Its totient is φ = 27229103320320.

The previous prime is 102126131652197. The next prime is 102126131652343. The reversal of 102126131652240 is 42256131621201.

102126131652240 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 61 + 31 + 6 + 522 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102126131652195 and 102126131652204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7470604 + ... + 16126443.

Almost surely, 2^{102126131652240} is an apocalyptic number.

102126131652240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102126131652240 is an abundant number, since it is smaller than the sum of its proper divisors (240904532676528).

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

102126131652240 is a wasteful number, since it uses less digits than its factorization.

102126131652240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23603077 (or 23603068 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 102126131652240 in words is "one hundred two trillion, one hundred twenty-six billion, one hundred thirty-one million, six hundred fifty-two thousand, two hundred forty".