10100201210100 has 90 divisors (see below), whose sum is σ = 32740862146454. Its totient is φ = 2693386987200.

The previous prime is 10100201210017. The next prime is 10100201210123. The reversal of 10100201210100 is 101210200101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1057779338256 + 9042421871844 = 1028484^2 + 3007062^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 623461111 + ... + 623477310.

Almost surely, 2^{10100201210100} is an apocalyptic number.

10100201210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100201210100 is an abundant number, since it is smaller than the sum of its proper divisors (22640660936354).

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

10100201210100 is a wasteful number, since it uses less digits than its factorization.

10100201210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246938447 (or 1246938431 counting only the distinct ones).

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

Adding to 10100201210100 its reverse (101210200101), we get a palindrome (10201411410201).

The spelling of 10100201210100 in words is "ten trillion, one hundred billion, two hundred one million, two hundred ten thousand, one hundred".