1101022100100 has 288 divisors, whose sum is σ = 3851167120640. Its totient is φ = 268225966080.

The previous prime is 1101022100041. The next prime is 1101022100119. The reversal of 1101022100100 is 10012201011.

It is a happy number.

It is a super-2 number, since 2×1101022100100² (a number of 25 digits) contains 22 as substring.

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, 3243009 + ... + 3566391.

Almost surely, 2^{1101022100100} is an apocalyptic number.

1101022100100 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 1101022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925583560320).

1101022100100 is an abundant number, since it is smaller than the sum of its proper divisors (2750145020540).

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

1101022100100 is a wasteful number, since it uses less digits than its factorization.

1101022100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323516 (or 323503 counting only the distinct ones).

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

Adding to 1101022100100 its reverse (10012201011), we get a palindrome (1111034301111).

The spelling of 1101022100100 in words is "one trillion, one hundred one billion, twenty-two million, one hundred thousand, one hundred".