101221000022100 has 1728 divisors, whose sum is σ = 370158633664512. Its totient is φ = 20880986112000.

The previous prime is 101221000022099. The next prime is 101221000022171. The reversal of 101221000022100 is 1220000122101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 233766743484 + ... + 233766743916.

Almost surely, 2^{101221000022100} is an apocalyptic number.

101221000022100 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 101221000022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185079316832256).

101221000022100 is an abundant number, since it is smaller than the sum of its proper divisors (268937633642412).

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

101221000022100 is a wasteful number, since it uses less digits than its factorization.

101221000022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 622 counting only the distinct ones).

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

Adding to 101221000022100 its reverse (1220000122101), we get a palindrome (102441000144201).

The spelling of 101221000022100 in words is "one hundred one trillion, two hundred twenty-one billion, twenty-two thousand, one hundred".