101022121031 has 8 divisors (see below), whose sum is σ = 109216376304. Its totient is φ = 92888340480.

The previous prime is 101022121009. The next prime is 101022121033. The reversal of 101022121031 is 130121220101.

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

It is not a de Polignac number, because 101022121031 - 2¹⁰ = 101022120007 is a prime.

It is a super-2 number, since 2×101022121031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101022120997 and 101022121015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022121033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15115205 + ... + 15121886.

It is an arithmetic number, because the mean of its divisors is an integer number (13652047038).

Almost surely, 2^101022121031 is an apocalyptic number.

101022121031 is a deficient number, since it is larger than the sum of its proper divisors (8194255273).

101022121031 is a wasteful number, since it uses less digits than its factorization.

101022121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30237361.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101022121031 its reverse (130121220101), we get a palindrome (231143341132).

The spelling of 101022121031 in words is "one hundred one billion, twenty-two million, one hundred twenty-one thousand, thirty-one".