10100102121 has 24 divisors (see below), whose sum is σ = 15003657344. Its totient is φ = 6542532000.

The previous prime is 10100102119. The next prime is 10100102123. The reversal of 10100102121 is 12120100101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100102119) and next prime (10100102123).

It is not a de Polignac number, because 10100102121 - 2¹ = 10100102119 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100102123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229890 + ... + 270276.

Almost surely, 2^10100102121 is an apocalyptic number.

It is an amenable number.

10100102121 is a deficient number, since it is larger than the sum of its proper divisors (4903555223).

10100102121 is a wasteful number, since it uses less digits than its factorization.

10100102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41181 (or 41178 counting only the distinct ones).

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

Adding to 10100102121 its reverse (12120100101), we get a palindrome (22220202222).

The spelling of 10100102121 in words is "ten billion, one hundred million, one hundred two thousand, one hundred twenty-one".