1020100102002 has 48 divisors (see below), whose sum is σ = 2233949903640. Its totient is φ = 336399081216.

The previous prime is 1020100101953. The next prime is 1020100102033. The reversal of 1020100102002 is 2002010010201.

1020100102002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1011877058241 + 8223043761 = 1005921^2 + 90681^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16624 + ... + 1428452.

Almost surely, 2^{1020100102002} is an apocalyptic number.

1020100102002 is an abundant number, since it is smaller than the sum of its proper divisors (1213849801638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020100102002 is a wasteful number, since it uses less digits than its factorization.

1020100102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412267 (or 1412264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020100102002 its reverse (2002010010201), we get a palindrome (3022110112203).

The spelling of 1020100102002 in words is "one trillion, twenty billion, one hundred million, one hundred two thousand, two".