2201012210100 has 288 divisors, whose sum is σ = 7385262312960. Its totient is φ = 500489280000.

The previous prime is 2201012210077. The next prime is 2201012210101. The reversal of 2201012210100 is 10122101022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201012210101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6158919 + ... + 6506481.

It is an arithmetic number, because the mean of its divisors is an integer number (25643271920).

Almost surely, 2^{2201012210100} is an apocalyptic number.

2201012210100 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 2201012210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692631156480).

2201012210100 is an abundant number, since it is smaller than the sum of its proper divisors (5184250102860).

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

2201012210100 is a wasteful number, since it uses less digits than its factorization.

2201012210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347711 (or 347704 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2201012210100 its reverse (10122101022), we get a palindrome (2211134311122).

It can be divided in two parts, 2 and 201012210100, that added together give a palindrome (201012210102).

The spelling of 2201012210100 in words is "two trillion, two hundred one billion, twelve million, two hundred ten thousand, one hundred".