10022201011120 has 80 divisors (see below), whose sum is σ = 23631764309568. Its totient is φ = 3952090275840.

The previous prime is 10022201011111. The next prime is 10022201011129. The reversal of 10022201011120 is 2111010222001.

It is an interprime number because it is at equal distance from previous prime (10022201011111) and next prime (10022201011129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10022201011120.

It is not an unprimeable number, because it can be changed into a prime (10022201011129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75460612 + ... + 75593308.

Almost surely, 2^{10022201011120} is an apocalyptic number.

10022201011120 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 10022201011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815882154784).

10022201011120 is an abundant number, since it is smaller than the sum of its proper divisors (13609563298448).

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

10022201011120 is a wasteful number, since it uses less digits than its factorization.

10022201011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146078 (or 146072 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022201011120 its reverse (2111010222001), we get a palindrome (12133211233121).

The spelling of 10022201011120 in words is "ten trillion, twenty-two billion, two hundred one million, eleven thousand, one hundred twenty".