101998953600 has 192 divisors, whose sum is σ = 337163554080. Its totient is φ = 27102208000.

The previous prime is 101998953577. The next prime is 101998953607. The reversal of 101998953600 is 6359899101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (101998953607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2678695 + ... + 2716505.

Almost surely, 2^101998953600 is an apocalyptic number.

101998953600 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 101998953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168581777040).

101998953600 is an abundant number, since it is smaller than the sum of its proper divisors (235164600480).

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

101998953600 is a wasteful number, since it uses less digits than its factorization.

101998953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38119 (or 38102 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 101998953600 in words is "one hundred one billion, nine hundred ninety-eight million, nine hundred fifty-three thousand, six hundred".