10101122102021 has 16 divisors (see below), whose sum is σ = 10652372062848. Its totient is φ = 9559349976000.

The previous prime is 10101122102009. The next prime is 10101122102033. The reversal of 10101122102021 is 12020122110101.

It is an interprime number because it is at equal distance from previous prime (10101122102009) and next prime (10101122102033).

It is not a de Polignac number, because 10101122102021 - 2¹⁰ = 10101122100997 is a prime.

It is a super-3 number, since 3×10101122102021³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101122101987 and 10101122102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101122102321) 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, 1633730 + ... + 4782396.

It is an arithmetic number, because the mean of its divisors is an integer number (665773253928).

Almost surely, 2^{10101122102021} is an apocalyptic number.

It is an amenable number.

10101122102021 is a deficient number, since it is larger than the sum of its proper divisors (551249960827).

10101122102021 is a wasteful number, since it uses less digits than its factorization.

10101122102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150172.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10101122102021 its reverse (12020122110101), we get a palindrome (22121244212122).

The spelling of 10101122102021 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred two thousand, twenty-one".