202201012101120 has 448 divisors, whose sum is σ = 651061594333440. Its totient is φ = 53583151104000.

The previous prime is 202201012101091. The next prime is 202201012101131. The reversal of 202201012101120 is 21101210102202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202201012101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13086589395 + ... + 13086604845.

Almost surely, 2^{202201012101120} is an apocalyptic number.

202201012101120 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 202201012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325530797166720).

202201012101120 is an abundant number, since it is smaller than the sum of its proper divisors (448860582232320).

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

202201012101120 is a wasteful number, since it uses less digits than its factorization.

202201012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16145 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202201012101120 its reverse (21101210102202), we get a palindrome (223302222203322).

It can be divided in two parts, 20220101 and 2101120, that added together give a triangular number (22321221 = T₆₆₈₁).

The spelling of 202201012101120 in words is "two hundred two trillion, two hundred one billion, twelve million, one hundred one thousand, one hundred twenty".