101002121220000 has 5760 divisors, whose sum is σ = 478978007574528. Its totient is φ = 18289152000000.

The previous prime is 101002121219969. The next prime is 101002121220067. The reversal of 101002121220000 is 22121200101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 668888219925 + ... + 668888220075.

Almost surely, 2^{101002121220000} is an apocalyptic number.

101002121220000 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 101002121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239489003787264).

101002121220000 is an abundant number, since it is smaller than the sum of its proper divisors (377975886354528).

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

101002121220000 is a wasteful number, since it uses less digits than its factorization.

101002121220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 272 counting only the distinct ones).

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

Adding to 101002121220000 its reverse (22121200101), we get a palindrome (101024242420101).

The spelling of 101002121220000 in words is "one hundred one trillion, two billion, one hundred twenty-one million, two hundred twenty thousand".