121000100031 has 48 divisors (see below), whose sum is σ = 187789425408. Its totient is φ = 74802873600.

The previous prime is 121000100029. The next prime is 121000100051. The reversal of 121000100031 is 130001000121.

It is not a de Polignac number, because 121000100031 - 2¹ = 121000100029 is a prime.

It is a super-2 number, since 2×121000100031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121000099986 and 121000100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23146440 + ... + 23151666.

It is an arithmetic number, because the mean of its divisors is an integer number (3912279696).

Almost surely, 2^121000100031 is an apocalyptic number.

121000100031 is a deficient number, since it is larger than the sum of its proper divisors (66789325377).

121000100031 is a wasteful number, since it uses less digits than its factorization.

121000100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 121000100031 its reverse (130001000121), we get a palindrome (251001100152).

The spelling of 121000100031 in words is "one hundred twenty-one billion, one hundred thousand, thirty-one".