10121010101021 has 24 divisors (see below), whose sum is σ = 10736484804864. Its totient is φ = 9539282934720.

The previous prime is 10121010100987. The next prime is 10121010101047. The reversal of 10121010101021 is 12010101012101.

It is not a de Polignac number, because 10121010101021 - 2¹⁴ = 10121010084637 is a prime.

It is a super-2 number, since 2×10121010101021² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121010100993 and 10121010101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121010181021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65148980 + ... + 65304146.

It is an arithmetic number, because the mean of its divisors is an integer number (447353533536).

Almost surely, 2^{10121010101021} is an apocalyptic number.

It is an amenable number.

10121010101021 is a deficient number, since it is larger than the sum of its proper divisors (615474703843).

10121010101021 is a wasteful number, since it uses less digits than its factorization.

10121010101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156129 (or 156110 counting only the distinct ones).

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

Adding to 10121010101021 its reverse (12010101012101), we get a palindrome (22131111113122).

The spelling of 10121010101021 in words is "ten trillion, one hundred twenty-one billion, ten million, one hundred one thousand, twenty-one".