100200101012021 has 16 divisors (see below), whose sum is σ = 101253962127360. Its totient is φ = 99150442675200.

The previous prime is 100200101011999. The next prime is 100200101012029. The reversal of 100200101012021 is 120210101002001.

It is a cyclic number.

It is not a de Polignac number, because 100200101012021 - 2¹⁴ = 100200100995637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200101011993 and 100200101012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200101012029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408159050 + ... + 408404468.

It is an arithmetic number, because the mean of its divisors is an integer number (6328372632960).

Almost surely, 2^{100200101012021} is an apocalyptic number.

It is an amenable number.

100200101012021 is a deficient number, since it is larger than the sum of its proper divisors (1053861115339).

100200101012021 is a wasteful number, since it uses less digits than its factorization.

100200101012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253964.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200101012021 its reverse (120210101002001), we get a palindrome (220410202014022).

The spelling of 100200101012021 in words is "one hundred trillion, two hundred billion, one hundred one million, twelve thousand, twenty-one".