10100201011002 has 192 divisors, whose sum is σ = 23585888551680. Its totient is φ = 3237092812800.

The previous prime is 10100201010983. The next prime is 10100201011037. The reversal of 10100201011002 is 20011010200101.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 551522598 + ... + 551540910.

It is an arithmetic number, because the mean of its divisors is an integer number (122843169540).

Almost surely, 2^{10100201011002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100201011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792944275840).

10100201011002 is an abundant number, since it is smaller than the sum of its proper divisors (13485687540678).

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

10100201011002 is a wasteful number, since it uses less digits than its factorization.

10100201011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18759 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100201011002 its reverse (20011010200101), we get a palindrome (30111211211103).

The spelling of 10100201011002 in words is "ten trillion, one hundred billion, two hundred one million, eleven thousand, two".