1010101122121 has 16 divisors (see below), whose sum is σ = 1254820097664. Its totient is φ = 791731713024.

The previous prime is 1010101122103. The next prime is 1010101122143. The reversal of 1010101122121 is 1212211010101.

It is a happy number.

It is not a de Polignac number, because 1010101122121 - 2³⁵ = 975741383753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1010101122721) 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, 51859480 + ... + 51878953.

It is an arithmetic number, because the mean of its divisors is an integer number (78426256104).

Almost surely, 2^{1010101122121} is an apocalyptic number.

It is an amenable number.

1010101122121 is a deficient number, since it is larger than the sum of its proper divisors (244718975543).

1010101122121 is a wasteful number, since it uses less digits than its factorization.

1010101122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103738560.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1010101122121 its reverse (1212211010101), we get a palindrome (2222312132222).

The spelling of 1010101122121 in words is "one trillion, ten billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".