210200110100100 has 54 divisors (see below), whose sum is σ = 658860567327690. Its totient is φ = 56053362693120.

The previous prime is 210200110100081. The next prime is 210200110100119. The reversal of 210200110100100 is 1001011002012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210200110100081) and next prime (210200110100119).

It can be written as a sum of positive squares in 3 ways, for example, as 1345818088836 + 208854292011264 = 1160094^2 + 14451792^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116777838045 + ... + 116777839844.

Almost surely, 2^{210200110100100} is an apocalyptic number.

210200110100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210200110100100 is an abundant number, since it is smaller than the sum of its proper divisors (448660457227590).

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

210200110100100 is a wasteful number, since it uses less digits than its factorization.

210200110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233555677909 (or 233555677899 counting only the distinct ones).

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

Adding to 210200110100100 its reverse (1001011002012), we get a palindrome (211201121102112).

The spelling of 210200110100100 in words is "two hundred ten trillion, two hundred billion, one hundred ten million, one hundred thousand, one hundred".