102211678158408 has 384 divisors, whose sum is σ = 353080460678400. Its totient is φ = 25981119940608.

The previous prime is 102211678158347. The next prime is 102211678158439. The reversal of 102211678158408 is 804851876112201.

102211678158408 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 16 + 78 + 158 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106496766 + ... + 107452242.

It is an arithmetic number, because the mean of its divisors is an integer number (919480366350).

Almost surely, 2^{102211678158408} is an apocalyptic number.

102211678158408 is a gapful number since it is divisible by the number (18) 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 102211678158408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176540230339200).

102211678158408 is an abundant number, since it is smaller than the sum of its proper divisors (250868782519992).

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

102211678158408 is a wasteful number, since it uses less digits than its factorization.

102211678158408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956101 (or 956094 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 102211678158408 in words is "one hundred two trillion, two hundred eleven billion, six hundred seventy-eight million, one hundred fifty-eight thousand, four hundred eight".