1031222132100 has 144 divisors (see below), whose sum is σ = 3327795757440. Its totient is φ = 273946780800.

The previous prime is 1031222131967. The next prime is 1031222132131. The reversal of 1031222132100 is 12312221301.

1031222132100 is a `hidden beast` number, since 1 + 0 + 312 + 221 + 32 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16011 + ... + 1436210.

It is an arithmetic number, because the mean of its divisors is an integer number (23109692760).

Almost surely, 2^{1031222132100} is an apocalyptic number.

1031222132100 is a gapful number since it is divisible by the number (10) 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 1031222132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663897878720).

1031222132100 is an abundant number, since it is smaller than the sum of its proper divisors (2296573625340).

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

1031222132100 is a wasteful number, since it uses less digits than its factorization.

1031222132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452507 (or 1452494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1031222132100 its reverse (12312221301), we get a palindrome (1043534353401).

The spelling of 1031222132100 in words is "one trillion, thirty-one billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred".