101022120000 has 560 divisors, whose sum is σ = 375641006400. Its totient is φ = 26611200000.

The previous prime is 101022119981. The next prime is 101022120007. The reversal of 101022120000 is 21220101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101022120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96119475 + ... + 96120525.

Almost surely, 2^101022120000 is an apocalyptic number.

101022120000 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 101022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187820503200).

101022120000 is an abundant number, since it is smaller than the sum of its proper divisors (274618886400).

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

101022120000 is an equidigital number, since it uses as much as digits as its factorization.

101022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101022120000 its reverse (21220101), we get a palindrome (101043340101).

The spelling of 101022120000 in words is "one hundred one billion, twenty-two million, one hundred twenty thousand".