100210020111201 has 384 divisors, whose sum is σ = 193087460966400. Its totient is φ = 45374668093440.

The previous prime is 100210020111191. The next prime is 100210020111247. The reversal of 100210020111201 is 102111020012001.

It is not a de Polignac number, because 100210020111201 - 2⁵ = 100210020111169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210020111281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7085478336 + ... + 7085492478.

It is an arithmetic number, because the mean of its divisors is an integer number (502831929600).

Almost surely, 2^{100210020111201} is an apocalyptic number.

100210020111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210020111201 is a deficient number, since it is larger than the sum of its proper divisors (92877440855199).

100210020111201 is a wasteful number, since it uses less digits than its factorization.

100210020111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14469 (or 14462 counting only the distinct ones).

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

Adding to 100210020111201 its reverse (102111020012001), we get a palindrome (202321040123202).

The spelling of 100210020111201 in words is "one hundred trillion, two hundred ten billion, twenty million, one hundred eleven thousand, two hundred one".