100101002122110 has 128 divisors (see below), whose sum is σ = 273721067790336. Its totient is φ = 23191155123840.

The previous prime is 100101002122097. The next prime is 100101002122111. The reversal of 100101002122110 is 11221200101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101002122111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2651559 + ... + 14395581.

It is an arithmetic number, because the mean of its divisors is an integer number (2138445842112).

Almost surely, 2^{100101002122110} is an apocalyptic number.

100101002122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101002122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136860533895168).

100101002122110 is an abundant number, since it is smaller than the sum of its proper divisors (173620065668226).

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

100101002122110 is a wasteful number, since it uses less digits than its factorization.

100101002122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11745190.

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

Adding to 100101002122110 its reverse (11221200101001), we get a palindrome (111322202223111).

The spelling of 100101002122110 in words is "one hundred trillion, one hundred one billion, two million, one hundred twenty-two thousand, one hundred ten".