10220132201100 has 216 divisors, whose sum is σ = 30954011149824. Its totient is φ = 2602317888000.

The previous prime is 10220132201093. The next prime is 10220132201113. The reversal of 10220132201100 is 110223102201.

10220132201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10220132201100² (a number of 27 digits) contains 22 as substring.

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 10220132201100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23486505 + ... + 23917695.

Almost surely, 2^{10220132201100} is an apocalyptic number.

10220132201100 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 10220132201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477005574912).

10220132201100 is an abundant number, since it is smaller than the sum of its proper divisors (20733878948724).

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

10220132201100 is a wasteful number, since it uses less digits than its factorization.

10220132201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431337 (or 431289 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10220132201100 its reverse (110223102201), we get a palindrome (10330355303301).

The spelling of 10220132201100 in words is "ten trillion, two hundred twenty billion, one hundred thirty-two million, two hundred one thousand, one hundred".