100100121021 has 48 divisors (see below), whose sum is σ = 153860990400. Its totient is φ = 62494032384.

The previous prime is 100100120993. The next prime is 100100121097. The reversal of 100100121021 is 120121001001.

It is a happy number.

It is not a de Polignac number, because 100100121021 - 2¹¹ = 100100118973 is a prime.

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 = 100100120994 and 100100121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100122021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60047230 + ... + 60048896.

It is an arithmetic number, because the mean of its divisors is an integer number (3205437300).

Almost surely, 2^100100121021 is an apocalyptic number.

It is an amenable number.

100100121021 is a deficient number, since it is larger than the sum of its proper divisors (53760869379).

100100121021 is a wasteful number, since it uses less digits than its factorization.

100100121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100121021 its reverse (120121001001), we get a palindrome (220221122022).

The spelling of 100100121021 in words is "one hundred billion, one hundred million, one hundred twenty-one thousand, twenty-one".