10100120010211 has 32 divisors (see below), whose sum is σ = 13358676556800. Its totient is φ = 7393051161600.

The previous prime is 10100120010199. The next prime is 10100120010221. The reversal of 10100120010211 is 11201002100101.

It is a cyclic number.

It is not a de Polignac number, because 10100120010211 - 2¹³ = 10100120002019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100120010221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6722911 + ... + 8086888.

It is an arithmetic number, because the mean of its divisors is an integer number (417458642400).

Almost surely, 2^{10100120010211} is an apocalyptic number.

10100120010211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100120010211 is a deficient number, since it is larger than the sum of its proper divisors (3258556546589).

10100120010211 is a wasteful number, since it uses less digits than its factorization.

10100120010211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14810355.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100120010211 its reverse (11201002100101), we get a palindrome (21301122110312).

The spelling of 10100120010211 in words is "ten trillion, one hundred billion, one hundred twenty million, ten thousand, two hundred eleven".