101199669831700 has 216 divisors, whose sum is σ = 249766949829600. Its totient is φ = 35522195385600.

The previous prime is 101199669831647. The next prime is 101199669831709. The reversal of 101199669831700 is 7138966991101.

It is a super-2 number, since 2×101199669831700² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101199669831709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1522521867 + ... + 1522588333.

Almost surely, 2^{101199669831700} is an apocalyptic number.

101199669831700 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 101199669831700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124883474914800).

101199669831700 is an abundant number, since it is smaller than the sum of its proper divisors (148567279997900).

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

101199669831700 is a wasteful number, since it uses less digits than its factorization.

101199669831700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70871 (or 70853 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 61.

The spelling of 101199669831700 in words is "one hundred one trillion, one hundred ninety-nine billion, six hundred sixty-nine million, eight hundred thirty-one thousand, seven hundred".