10100210101121 has 4 divisors (see below), whose sum is σ = 11543097258432. Its totient is φ = 8657322943812.

The previous prime is 10100210101103. The next prime is 10100210101151. The reversal of 10100210101121 is 12110101200101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100210101121 - 2¹⁸ = 10100209838977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100210101151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 721443578645 + ... + 721443578658.

It is an arithmetic number, because the mean of its divisors is an integer number (2885774314608).

Almost surely, 2^{10100210101121} is an apocalyptic number.

It is an amenable number.

10100210101121 is a deficient number, since it is larger than the sum of its proper divisors (1442887157311).

10100210101121 is an equidigital number, since it uses as much as digits as its factorization.

10100210101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442887157310.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100210101121 its reverse (12110101200101), we get a palindrome (22210311301222).

The spelling of 10100210101121 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred one thousand, one hundred twenty-one".