101211220000 has 120 divisors (see below), whose sum is σ = 271631262672. Its totient is φ = 36804000000.

The previous prime is 101211219971. The next prime is 101211220003. The reversal of 101211220000 is 22112101.

It is a super-2 number, since 2×101211220000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101211220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10026 + ... + 450025.

Almost surely, 2^101211220000 is an apocalyptic number.

101211220000 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 101211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135815631336).

101211220000 is an abundant number, since it is smaller than the sum of its proper divisors (170420042672).

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

101211220000 is an equidigital number, since it uses as much as digits as its factorization.

101211220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460092 (or 460069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101211220000 its reverse (22112101), we get a palindrome (101233332101).

The spelling of 101211220000 in words is "one hundred one billion, two hundred eleven million, two hundred twenty thousand".