101012230833600 has 672 divisors, whose sum is σ = 358304119925760. Its totient is φ = 24847111618560.

The previous prime is 101012230833593. The next prime is 101012230833673. The reversal of 101012230833600 is 6338032210101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461472981 + ... + 461691819.

Almost surely, 2^{101012230833600} is an apocalyptic number.

101012230833600 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 101012230833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179152059962880).

101012230833600 is an abundant number, since it is smaller than the sum of its proper divisors (257291889092160).

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

101012230833600 is a wasteful number, since it uses less digits than its factorization.

101012230833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219037 (or 219022 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 101012230833600 in words is "one hundred one trillion, twelve billion, two hundred thirty million, eight hundred thirty-three thousand, six hundred".