101132101021 has 12 divisors (see below), whose sum is σ = 123835226880. Its totient is φ = 82122306840.

The previous prime is 101132101003. The next prime is 101132101181. The reversal of 101132101021 is 120101231101.

It is a happy number.

It is not a de Polignac number, because 101132101021 - 2⁷ = 101132100893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101132100992 and 101132101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132101321) 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, 54312765 + ... + 54314626.

It is an arithmetic number, because the mean of its divisors is an integer number (10319602240).

Almost surely, 2^101132101021 is an apocalyptic number.

It is an amenable number.

101132101021 is a deficient number, since it is larger than the sum of its proper divisors (22703125859).

101132101021 is a wasteful number, since it uses less digits than its factorization.

101132101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108627424 (or 108627417 counting only the distinct ones).

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

Adding to 101132101021 its reverse (120101231101), we get a palindrome (221233332122).

The spelling of 101132101021 in words is "one hundred one billion, one hundred thirty-two million, one hundred one thousand, twenty-one".