1020010202101 has 48 divisors (see below), whose sum is σ = 1189549872000. Its totient is φ = 871516800000.

The previous prime is 1020010202093. The next prime is 1020010202153. The reversal of 1020010202101 is 1012020100201.

It is not a de Polignac number, because 1020010202101 - 2³ = 1020010202093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020010202171) 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, 364157901 + ... + 364160701.

It is an arithmetic number, because the mean of its divisors is an integer number (24782289000).

Almost surely, 2^{1020010202101} is an apocalyptic number.

1020010202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020010202101 is a deficient number, since it is larger than the sum of its proper divisors (169539669899).

1020010202101 is a wasteful number, since it uses less digits than its factorization.

1020010202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020010202101 its reverse (1012020100201), we get a palindrome (2032030302302).

The spelling of 1020010202101 in words is "one trillion, twenty billion, ten million, two hundred two thousand, one hundred one".