201010102001020 has 144 divisors (see below), whose sum is σ = 458770336762752. Its totient is φ = 73946321729280.

The previous prime is 201010102001003. The next prime is 201010102001039. The reversal of 201010102001020 is 20100201010102.

It is a super-2 number, since 2×201010102001020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201010102000988 and 201010102001006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10754369875 + ... + 10754388565.

It is an arithmetic number, because the mean of its divisors is an integer number (3185905116408).

Almost surely, 2^{201010102001020} is an apocalyptic number.

201010102001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010102001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229385168381376).

201010102001020 is an abundant number, since it is smaller than the sum of its proper divisors (257760234761732).

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

201010102001020 is a wasteful number, since it uses less digits than its factorization.

201010102001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30252 (or 30237 counting only the distinct ones).

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

Adding to 201010102001020 its reverse (20100201010102), we get a palindrome (221110303011122).

The spelling of 201010102001020 in words is "two hundred one trillion, ten billion, one hundred two million, one thousand, twenty".