101222012112000 has 512 divisors, whose sum is σ = 363235360400640. Its totient is φ = 24787058688000.

The previous prime is 101222012111947. The next prime is 101222012112019. The reversal of 101222012112000 is 211210222101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120011755 + ... + 120852245.

Almost surely, 2^{101222012112000} is an apocalyptic number.

101222012112000 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 101222012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181617680200320).

101222012112000 is an abundant number, since it is smaller than the sum of its proper divisors (262013348288640).

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

101222012112000 is a wasteful number, since it uses less digits than its factorization.

101222012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840729 (or 840707 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101222012112000 its reverse (211210222101), we get a palindrome (101433222334101).

The spelling of 101222012112000 in words is "one hundred one trillion, two hundred twenty-two billion, twelve million, one hundred twelve thousand".