102000101021001 has 24 divisors (see below), whose sum is σ = 147369435339776. Its totient is φ = 67983474350880.

The previous prime is 102000101020967. The next prime is 102000101021029. The reversal of 102000101021001 is 100120101000201.

It is a happy number.

It is not a de Polignac number, because 102000101021001 - 2¹¹ = 102000101018953 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 (102000101021081) 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, 637935096 + ... + 638094966.

Almost surely, 2^{102000101021001} is an apocalyptic number.

It is an amenable number.

102000101021001 is a deficient number, since it is larger than the sum of its proper divisors (45369334318775).

102000101021001 is a wasteful number, since it uses less digits than its factorization.

102000101021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176733 (or 176730 counting only the distinct ones).

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

Adding to 102000101021001 its reverse (100120101000201), we get a palindrome (202120202021202).

The spelling of 102000101021001 in words is "one hundred two trillion, one hundred one million, twenty-one thousand, one".