2100201001002 has 72 divisors (see below), whose sum is σ = 4937684918400. Its totient is φ = 644866151904.

The previous prime is 2100201000983. The next prime is 2100201001013. The reversal of 2100201001002 is 2001001020012.

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 35 ways as a sum of consecutive naturals, for example, 736449 + ... + 2177787.

It is an arithmetic number, because the mean of its divisors is an integer number (68578957200).

Almost surely, 2^{2100201001002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100201001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468842459200).

2100201001002 is an abundant number, since it is smaller than the sum of its proper divisors (2837483917398).

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

2100201001002 is a wasteful number, since it uses less digits than its factorization.

2100201001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441852 (or 1441836 counting only the distinct ones).

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

Adding to 2100201001002 its reverse (2001001020012), we get a palindrome (4101202021014).

The spelling of 2100201001002 in words is "two trillion, one hundred billion, two hundred one million, one thousand, two".