101100000210000 has 200 divisors, whose sum is σ = 356033761901664. Its totient is φ = 24509090880000.

The previous prime is 101100000209993. The next prime is 101100000210037. The reversal of 101100000210000 is 12000001101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152851819 + ... + 153511818.

Almost surely, 2^{101100000210000} is an apocalyptic number.

101100000210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100000210000 is an abundant number, since it is smaller than the sum of its proper divisors (254933761691664).

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

101100000210000 is a wasteful number, since it uses less digits than its factorization.

101100000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306363679 (or 306363658 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101100000210000 its reverse (12000001101), we get a palindrome (101112000211101).

The spelling of 101100000210000 in words is "one hundred one trillion, one hundred billion, two hundred ten thousand".