101022112001021 has 2 divisors, whose sum is σ = 101022112001022. Its totient is φ = 101022112001020.

The previous prime is 101022112001017. The next prime is 101022112001029. The reversal of 101022112001021 is 120100211220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101021696412025 + 415588996 = 10050955^2 + 20386^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022112001021 - 2² = 101022112001017 is a prime.

It is a super-2 number, since 2×101022112001021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022112000987 and 101022112001005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022112001029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511056000510 + 50511056000511.

It is an arithmetic number, because the mean of its divisors is an integer number (50511056000511).

Almost surely, 2^{101022112001021} is an apocalyptic number.

It is an amenable number.

101022112001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022112001021 is an equidigital number, since it uses as much as digits as its factorization.

101022112001021 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101022112001021 its reverse (120100211220101), we get a palindrome (221122323221122).

The spelling of 101022112001021 in words is "one hundred one trillion, twenty-two billion, one hundred twelve million, one thousand, twenty-one".