210100101020000 has 240 divisors, whose sum is σ = 522841764891600. Its totient is φ = 83073043200000.

The previous prime is 210100101019999. The next prime is 210100101020077. The reversal of 210100101020000 is 20101001012.

It is a super-2 number, since 2×210100101020000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 210100101020000.

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, 1250295986 + ... + 1250464014.

It is an arithmetic number, because the mean of its divisors is an integer number (2178507353715).

Almost surely, 2^{210100101020000} is an apocalyptic number.

210100101020000 is a gapful number since it is divisible by the number (20) 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 210100101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261420882445800).

210100101020000 is an abundant number, since it is smaller than the sum of its proper divisors (312741663871600).

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

210100101020000 is a wasteful number, since it uses less digits than its factorization.

210100101020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168779 (or 168756 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210100101020000 its reverse (20101001012), we get a palindrome (210120202021012).

The spelling of 210100101020000 in words is "two hundred ten trillion, one hundred billion, one hundred one million, twenty thousand".