10101122101021 has 8 divisors (see below), whose sum is σ = 11553914438784. Its totient is φ = 8650773486960.

The previous prime is 10101122100997. The next prime is 10101122101043. The reversal of 10101122101021 is 12010122110101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101122101021 - 2⁷ = 10101122100893 is a prime.

It is a super-3 number, since 3×10101122101021³ (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 = 10101122100992 and 10101122101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101122101321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610922065 + ... + 610938598.

It is an arithmetic number, because the mean of its divisors is an integer number (1444239304848).

Almost surely, 2^{10101122101021} is an apocalyptic number.

It is an amenable number.

10101122101021 is a deficient number, since it is larger than the sum of its proper divisors (1452792337763).

10101122101021 is a wasteful number, since it uses less digits than its factorization.

10101122101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221861851.

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

Adding to 10101122101021 its reverse (12010122110101), we get a palindrome (22111244211122).

The spelling of 10101122101021 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, twenty-one".