20201002100010 has 192 divisors, whose sum is σ = 55406897949312. Its totient is φ = 5100901267968.

The previous prime is 20201002099963. The next prime is 20201002100053. The reversal of 20201002100010 is 1000120010202.

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

It is a junction number, because it is equal to n+sod(n) for n = 20201002099965 and 20201002100001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17972692 + ... + 19063568.

It is an arithmetic number, because the mean of its divisors is an integer number (288577593486).

Almost surely, 2^{20201002100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201002100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27703448974656).

20201002100010 is an abundant number, since it is smaller than the sum of its proper divisors (35205895849302).

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

20201002100010 is a wasteful number, since it uses less digits than its factorization.

20201002100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091077 (or 1091074 counting only the distinct ones).

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

Adding to 20201002100010 its reverse (1000120010202), we get a palindrome (21201122110212).

The spelling of 20201002100010 in words is "twenty trillion, two hundred one billion, two million, one hundred thousand, ten".