101220121002000 has 1280 divisors, whose sum is σ = 449997294329856. Its totient is φ = 18890081280000.

The previous prime is 101220121001981. The next prime is 101220121002029. The reversal of 101220121002000 is 200121022101.

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 255 ways as a sum of consecutive naturals, for example, 221994255 + ... + 222449745.

Almost surely, 2^{101220121002000} is an apocalyptic number.

101220121002000 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 101220121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224998647164928).

101220121002000 is an abundant number, since it is smaller than the sum of its proper divisors (348777173327856).

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

101220121002000 is a wasteful number, since it uses less digits than its factorization.

101220121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455585 (or 455569 counting only the distinct ones).

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

Adding to 101220121002000 its reverse (200121022101), we get a palindrome (101420242024101).

The spelling of 101220121002000 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-one million, two thousand".