101122220000 has 120 divisors (see below), whose sum is σ = 251777261736. Its totient is φ = 39960896000.

The previous prime is 101122219973. The next prime is 101122220021. The reversal of 101122220000 is 22221101.

101122220000 = T₂₈₃₇₅ + T₂₈₃₇₆ + ... + T₂₈₆₂₃.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1629542 + ... + 1690458.

Almost surely, 2^101122220000 is an apocalyptic number.

101122220000 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 101122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125888630868).

101122220000 is an abundant number, since it is smaller than the sum of its proper divisors (150655041736).

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

101122220000 is an frugal number, since it uses more digits than its factorization.

101122220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61030 (or 61007 counting only the distinct ones).

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

Adding to 101122220000 its reverse (22221101), we get a palindrome (101144441101).

The spelling of 101122220000 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty thousand".