100211110210000 has 100 divisors (see below), whose sum is σ = 245023310695284. Its totient is φ = 39687568000000.

The previous prime is 100211110209979. The next prime is 100211110210061. The reversal of 100211110210000 is 12011112001.

It can be written as a sum of positive squares in 10 ways, for example, as 42252184028224 + 57958926181776 = 6500168^2 + 7613076^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48599461 + ... + 50619460.

Almost surely, 2^{100211110210000} is an apocalyptic number.

100211110210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211110210000 is an abundant number, since it is smaller than the sum of its proper divisors (144812200485284).

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

100211110210000 is an equidigital number, since it uses as much as digits as its factorization.

100211110210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99219050 (or 99219029 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100211110210000 its reverse (12011112001), we get a palindrome (100223121322001).

The spelling of 100211110210000 in words is "one hundred trillion, two hundred eleven billion, one hundred ten million, two hundred ten thousand".