10220011122100 has 36 divisors (see below), whose sum is σ = 23883379840684. Its totient is φ = 3773542567680.

The previous prime is 10220011122071. The next prime is 10220011122109. The reversal of 10220011122100 is 122111002201.

It can be written as a sum of positive squares in 6 ways, for example, as 14363063716 + 10205648058384 = 119846^2 + 3194628^2 .

It is a super-2 number, since 2×10220011122100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220011122109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3930772209 + ... + 3930774808.

Almost surely, 2^{10220011122100} is an apocalyptic number.

10220011122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220011122100 is an abundant number, since it is smaller than the sum of its proper divisors (13663368718584).

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

10220011122100 is a wasteful number, since it uses less digits than its factorization.

10220011122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861547044 (or 7861547037 counting only the distinct ones).

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

Adding to 10220011122100 its reverse (122111002201), we get a palindrome (10342122124301).

The spelling of 10220011122100 in words is "ten trillion, two hundred twenty billion, eleven million, one hundred twenty-two thousand, one hundred".