210101201010000 has 150 divisors (see below), whose sum is σ = 734754248197970. Its totient is φ = 56026986912000.

The previous prime is 210101201009971. The next prime is 210101201010023. The reversal of 210101201010000 is 10102101012.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 130169662092864 + 79931538917136 = 11409192^2 + 8940444^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1167138895 + ... + 1167318894.

Almost surely, 2^{210101201010000} is an apocalyptic number.

210101201010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210101201010000 is an abundant number, since it is smaller than the sum of its proper divisors (524653047187970).

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

210101201010000 is a wasteful number, since it uses less digits than its factorization.

210101201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334457823 (or 2334457799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210101201010000 its reverse (10102101012), we get a palindrome (210111303111012).

The spelling of 210101201010000 in words is "two hundred ten trillion, one hundred one billion, two hundred one million, ten thousand".