1220211102100 has 36 divisors (see below), whose sum is σ = 2739163549500. Its totient is φ = 471253941760.

The previous prime is 1220211102091. The next prime is 1220211102109. The reversal of 1220211102100 is 12011120221.

It is an interprime number because it is at equal distance from previous prime (1220211102091) and next prime (1220211102109).

It can be written as a sum of positive squares in 6 ways, for example, as 78023014276 + 1142188087824 = 279326^2 + 1068732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220211102109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210378325 + ... + 210384124.

It is an arithmetic number, because the mean of its divisors is an integer number (76087876375).

Almost surely, 2^{1220211102100} is an apocalyptic number.

1220211102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220211102100 is an abundant number, since it is smaller than the sum of its proper divisors (1518952447400).

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

1220211102100 is a wasteful number, since it uses less digits than its factorization.

1220211102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420762492 (or 420762485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1220211102100 its reverse (12011120221), we get a palindrome (1232222222321).

The spelling of 1220211102100 in words is "one trillion, two hundred twenty billion, two hundred eleven million, one hundred two thousand, one hundred".