101012122201100 has 144 divisors (see below), whose sum is σ = 239642358157440. Its totient is φ = 36651985843200.

The previous prime is 101012122201061. The next prime is 101012122201103. The reversal of 101012122201100 is 1102221210101.

It is not an unprimeable number, because it can be changed into a prime (101012122201103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858624127 + ... + 1858678473.

It is an arithmetic number, because the mean of its divisors is an integer number (1664183042760).

Almost surely, 2^{101012122201100} is an apocalyptic number.

101012122201100 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 101012122201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119821179078720).

101012122201100 is an abundant number, since it is smaller than the sum of its proper divisors (138630235956340).

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

101012122201100 is a wasteful number, since it uses less digits than its factorization.

101012122201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58008 (or 58001 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012122201100 its reverse (1102221210101), we get a palindrome (102114343411201).

Subtracting from 101012122201100 its reverse (1102221210101), we obtain a palindrome (99909900990999).

The spelling of 101012122201100 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred one thousand, one hundred".