101955751040 has 512 divisors, whose sum is σ = 319243680000. Its totient is φ = 30505697280.

The previous prime is 101955751039. The next prime is 101955751063. The reversal of 101955751040 is 40157559101.

It is a super-2 number, since 2×101955751040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 101955750985 and 101955751003.

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, 29559236 + ... + 29562684.

Almost surely, 2^101955751040 is an apocalyptic number.

101955751040 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 101955751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159621840000).

101955751040 is an abundant number, since it is smaller than the sum of its proper divisors (217287928960).

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

101955751040 is a wasteful number, since it uses less digits than its factorization.

101955751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 38.

The spelling of 101955751040 in words is "one hundred one billion, nine hundred fifty-five million, seven hundred fifty-one thousand, forty".