101868503040000 has 2100 divisors, whose sum is σ = 404293047968040. Its totient is φ = 25480396800000.

The previous prime is 101868503039977. The next prime is 101868503040023. The reversal of 101868503040000 is 40305868101.

101868503040000 is a `hidden beast` number, since 101 + 8 + 6 + 8 + 503 + 0 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101868503039977) and next prime (101868503040023).

It is a super-4 number, since 4×101868503040000⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1008599039950 + ... + 1008599040050.

Almost surely, 2^{101868503040000} is an apocalyptic number.

101868503040000 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 101868503040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202146523984020).

101868503040000 is an abundant number, since it is smaller than the sum of its proper divisors (302424544928040).

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

101868503040000 is an frugal number, since it uses more digits than its factorization.

101868503040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 101868503040000 in words is "one hundred one trillion, eight hundred sixty-eight billion, five hundred three million, forty thousand".