2201395364100 has 405 divisors, whose sum is σ = 7337042497967. Its totient is φ = 552082556160.

The previous prime is 2201395364083. The next prime is 2201395364149. The reversal of 2201395364100 is 14635931022.

The square root of 2201395364100 is 1483710.

It is a perfect power (a square), and thus also a powerful number.

2201395364100 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 9 + 5 + 3 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6422740164 + 2194972623936 = 80142^2 + 1481544^2 .

It is a super-2 number, since 2×2201395364100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16068579232 + ... + 16068579368.

Almost surely, 2^{2201395364100} is an apocalyptic number.

2201395364100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2201395364100 is the 1483710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201395364100

2201395364100 is an abundant number, since it is smaller than the sum of its proper divisors (5135647133867).

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

2201395364100 is an equidigital number, since it uses as much as digits as its factorization.

2201395364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 2201395364100 by its sum of digits (36), we get a square (79250233107600 = 8902260²).

2201395364100 divided by its sum of digits (36) gives a square (61149871225 = 247285²).

The spelling of 2201395364100 in words is "two trillion, two hundred one billion, three hundred ninety-five million, three hundred sixty-four thousand, one hundred".