1102101002100 has 432 divisors, whose sum is σ = 4159047692800. Its totient is φ = 238461615360.

The previous prime is 1102101002089. The next prime is 1102101002111. The reversal of 1102101002100 is 12001012011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1102101002089) and next prime (1102101002111).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194749071 + ... + 194754729.

Almost surely, 2^{1102101002100} is an apocalyptic number.

1102101002100 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 1102101002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079523846400).

1102101002100 is an abundant number, since it is smaller than the sum of its proper divisors (3056946690700).

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

1102101002100 is a wasteful number, since it uses less digits than its factorization.

1102101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332 (or 7322 counting only the distinct ones).

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

Adding to 1102101002100 its reverse (12001012011), we get a palindrome (1114102014111).

The spelling of 1102101002100 in words is "one trillion, one hundred two billion, one hundred one million, two thousand, one hundred".