100200211110021 has 128 divisors (see below), whose sum is σ = 158499560816640. Its totient is φ = 55667295129600.

The previous prime is 100200211109987. The next prime is 100200211110029. The reversal of 100200211110021 is 120011112002001.

It is not a de Polignac number, because 100200211110021 - 2²² = 100200206915717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200211109979 and 100200211110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200211110029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1921248081 + ... + 1921300233.

It is an arithmetic number, because the mean of its divisors is an integer number (1238277818880).

Almost surely, 2^{100200211110021} is an apocalyptic number.

100200211110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200211110021 is a deficient number, since it is larger than the sum of its proper divisors (58299349706619).

100200211110021 is a wasteful number, since it uses less digits than its factorization.

100200211110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52867.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100200211110021 its reverse (120011112002001), we get a palindrome (220211323112022).

The spelling of 100200211110021 in words is "one hundred trillion, two hundred billion, two hundred eleven million, one hundred ten thousand, twenty-one".