101121023101 has 12 divisors (see below), whose sum is σ = 117648988380. Its totient is φ = 86661597120.

The previous prime is 101121023053. The next prime is 101121023111. The reversal of 101121023101 is 101320121101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97840712025 + 3280311076 = 312795^2 + 57274^2 .

It is not a de Polignac number, because 101121023101 - 2⁹ = 101121022589 is a prime.

It is a super-2 number, since 2×101121023101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121023111) 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, 161295 + ... + 477763.

It is an arithmetic number, because the mean of its divisors is an integer number (9804082365).

Almost surely, 2^101121023101 is an apocalyptic number.

It is an amenable number.

101121023101 is a deficient number, since it is larger than the sum of its proper divisors (16527965279).

101121023101 is an equidigital number, since it uses as much as digits as its factorization.

101121023101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323004 (or 322997 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101121023101 its reverse (101320121101), we get a palindrome (202441144202).

The spelling of 101121023101 in words is "one hundred one billion, one hundred twenty-one million, twenty-three thousand, one hundred one".