101677420800 has 1512 divisors, whose sum is σ = 421081660160. Its totient is φ = 24186470400.

The previous prime is 101677420771. The next prime is 101677420807. The reversal of 101677420800 is 8024776101.

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

It is not an unprimeable number, because it can be changed into a prime (101677420807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2748038382 + ... + 2748038418.

Almost surely, 2^101677420800 is an apocalyptic number.

101677420800 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 101677420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210540830080).

101677420800 is an abundant number, since it is smaller than the sum of its proper divisors (319404239360).

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

101677420800 is an equidigital number, since it uses as much as digits as its factorization.

101677420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 101677420800 in words is "one hundred one billion, six hundred seventy-seven million, four hundred twenty thousand, eight hundred".