10001010002121 has 12 divisors (see below), whose sum is σ = 14446468204740. Its totient is φ = 6667079292960.

The previous prime is 10001010002117. The next prime is 10001010002147. The reversal of 10001010002121 is 12120001010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6984497552400 + 3016512449721 = 2642820^2 + 1736811^2 .

It is not a de Polignac number, because 10001010002121 - 2² = 10001010002117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001010002821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21482610 + ... + 21943211.

It is an arithmetic number, because the mean of its divisors is an integer number (1203872350395).

Almost surely, 2^{10001010002121} is an apocalyptic number.

It is an amenable number.

10001010002121 is a deficient number, since it is larger than the sum of its proper divisors (4445458202619).

10001010002121 is a wasteful number, since it uses less digits than its factorization.

10001010002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43451416 (or 43451413 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001010002121 its reverse (12120001010001), we get a palindrome (22121011012122).

The spelling of 10001010002121 in words is "ten trillion, one billion, ten million, two thousand, one hundred twenty-one".