1102101122100 has 288 divisors, whose sum is σ = 3593609994240. Its totient is φ = 258358464000.

The previous prime is 1102101122099. The next prime is 1102101122147. The reversal of 1102101122100 is 12211012011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 165006561 + ... + 165013239.

It is an arithmetic number, because the mean of its divisors is an integer number (12477812480).

Almost surely, 2^{1102101122100} is an apocalyptic number.

1102101122100 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 1102101122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796804997120).

1102101122100 is an abundant number, since it is smaller than the sum of its proper divisors (2491508872140).

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

1102101122100 is a wasteful number, since it uses less digits than its factorization.

1102101122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1102101122100 its reverse (12211012011), we get a palindrome (1114312134111).

The spelling of 1102101122100 in words is "one trillion, one hundred two billion, one hundred one million, one hundred twenty-two thousand, one hundred".