101200012221000 has 2048 divisors, whose sum is σ = 410439923712000. Its totient is φ = 20153548800000.

The previous prime is 101200012220971. The next prime is 101200012221017. The reversal of 101200012221000 is 122210002101.

It is a Harshad number since it is a multiple of its sum of digits (12).

101200012221000 is a modest number, since divided by 12221000 gives 1012000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 177855908716 + ... + 177855909284.

It is an arithmetic number, because the mean of its divisors is an integer number (200410119000).

Almost surely, 2^{101200012221000} is an apocalyptic number.

101200012221000 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 101200012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205219961856000).

101200012221000 is an abundant number, since it is smaller than the sum of its proper divisors (309239911491000).

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

101200012221000 is a wasteful number, since it uses less digits than its factorization.

101200012221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200012221000 its reverse (122210002101), we get a palindrome (101322222223101).

The spelling of 101200012221000 in words is "one hundred one trillion, two hundred billion, twelve million, two hundred twenty-one thousand".