1021000102101 has 48 divisors (see below), whose sum is σ = 1851306762240. Its totient is φ = 528690460320.

The previous prime is 1021000102093. The next prime is 1021000102127. The reversal of 1021000102101 is 1012010001201.

It is a happy number.

It is not a de Polignac number, because 1021000102101 - 2³ = 1021000102093 is a prime.

It is a super-2 number, since 2×1021000102101² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021000102601) 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, 18515205 + ... + 18570266.

It is an arithmetic number, because the mean of its divisors is an integer number (38568890880).

Almost surely, 2^{1021000102101} is an apocalyptic number.

It is an amenable number.

1021000102101 is a deficient number, since it is larger than the sum of its proper divisors (830306660139).

1021000102101 is a wasteful number, since it uses less digits than its factorization.

1021000102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37085526 (or 37085523 counting only the distinct ones).

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

Adding to 1021000102101 its reverse (1012010001201), we get a palindrome (2033010103302).

The spelling of 1021000102101 in words is "one trillion, twenty-one billion, one hundred two thousand, one hundred one".