1000102121001 has 48 divisors (see below), whose sum is σ = 1472922880000. Its totient is φ = 653787145440.

The previous prime is 1000102120981. The next prime is 1000102121021. The reversal of 1000102121001 is 1001212010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000102120981) and next prime (1000102121021).

It is not a de Polignac number, because 1000102121001 - 2⁷ = 1000102120873 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 (1000102121021) 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, 80784030 + ... + 80796408.

Almost surely, 2^{1000102121001} is an apocalyptic number.

It is an amenable number.

1000102121001 is a deficient number, since it is larger than the sum of its proper divisors (472820758999).

1000102121001 is a wasteful number, since it uses less digits than its factorization.

1000102121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13234 (or 13231 counting only the distinct ones).

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

Adding to 1000102121001 its reverse (1001212010001), we get a palindrome (2001314131002).

The spelling of 1000102121001 in words is "one trillion, one hundred two million, one hundred twenty-one thousand, one".