101004220100 has 144 divisors (see below), whose sum is σ = 252153444480. Its totient is φ = 34401024000.

The previous prime is 101004220061. The next prime is 101004220123. The reversal of 101004220100 is 1022400101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84099500 + ... + 84100700.

Almost surely, 2^101004220100 is an apocalyptic number.

101004220100 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 101004220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126076722240).

101004220100 is an abundant number, since it is smaller than the sum of its proper divisors (151149224380).

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

101004220100 is a wasteful number, since it uses less digits than its factorization.

101004220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101004220100 its reverse (1022400101), we get a palindrome (102026620201).

The spelling of 101004220100 in words is "one hundred one billion, four million, two hundred twenty thousand, one hundred".