221002000101120 has 576 divisors, whose sum is σ = 828654317761536. Its totient is φ = 49137883545600.

The previous prime is 221002000101101. The next prime is 221002000101149. The reversal of 221002000101120 is 21101000200122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221002000101096 and 221002000101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4625674672 + ... + 4625722448.

It is an arithmetic number, because the mean of its divisors is an integer number (1438635968336).

Almost surely, 2^{221002000101120} is an apocalyptic number.

221002000101120 is a gapful number since it is divisible by the number (20) 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 221002000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414327158880768).

221002000101120 is an abundant number, since it is smaller than the sum of its proper divisors (607652317660416).

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

221002000101120 is a wasteful number, since it uses less digits than its factorization.

221002000101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52496 (or 52482 counting only the distinct ones).

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

Adding to 221002000101120 its reverse (21101000200122), we get a palindrome (242103000301242).

The spelling of 221002000101120 in words is "two hundred twenty-one trillion, two billion, one hundred one thousand, one hundred twenty".