101102211002100 has 576 divisors, whose sum is σ = 369601064017920. Its totient is φ = 20727144345600.

The previous prime is 101102211002059. The next prime is 101102211002141. The reversal of 101102211002100 is 1200112201101.

It is an interprime number because it is at equal distance from previous prime (101102211002059) and next prime (101102211002141).

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 pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 951828594 + ... + 951934806.

It is an arithmetic number, because the mean of its divisors is an integer number (641668513920).

Almost surely, 2^{101102211002100} is an apocalyptic number.

101102211002100 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 101102211002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184800532008960).

101102211002100 is an abundant number, since it is smaller than the sum of its proper divisors (268498853015820).

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

101102211002100 is a wasteful number, since it uses less digits than its factorization.

101102211002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106800 (or 106793 counting only the distinct ones).

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

Adding to 101102211002100 its reverse (1200112201101), we get a palindrome (102302323203201).

The spelling of 101102211002100 in words is "one hundred one trillion, one hundred two billion, two hundred eleven million, two thousand, one hundred".