101888638082000 has 320 divisors, whose sum is σ = 307558300008960. Its totient is φ = 31716163584000.

The previous prime is 101888638081973. The next prime is 101888638082027. The reversal of 101888638082000 is 280836888101.

It is an interprime number because it is at equal distance from previous prime (101888638081973) and next prime (101888638082027).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117995822 + ... + 118856178.

It is an arithmetic number, because the mean of its divisors is an integer number (961119687528).

Almost surely, 2^{101888638082000} is an apocalyptic number.

101888638082000 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 101888638082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153779150004480).

101888638082000 is an abundant number, since it is smaller than the sum of its proper divisors (205669661926960).

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

101888638082000 is a wasteful number, since it uses less digits than its factorization.

101888638082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861167 (or 861151 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 53.

The spelling of 101888638082000 in words is "one hundred one trillion, eight hundred eighty-eight billion, six hundred thirty-eight million, eighty-two thousand".