10022661170100 has 108 divisors (see below), whose sum is σ = 31427147828076. Its totient is φ = 2671716533760.

The previous prime is 10022661170089. The next prime is 10022661170101. The reversal of 10022661170100 is 107116622001.

It is a happy number.

10022661170100 is a `hidden beast` number, since 10 + 0 + 2 + 26 + 611 + 7 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 689623950096 + 9333037220004 = 830436^2 + 3055002^2 .

It is a super-2 number, since 2×10022661170100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022661170101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 356064 + ... + 4491336.

Almost surely, 2^{10022661170100} is an apocalyptic number.

10022661170100 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 10022661170100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713573914038).

10022661170100 is an abundant number, since it is smaller than the sum of its proper divisors (21404486657976).

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

10022661170100 is a wasteful number, since it uses less digits than its factorization.

10022661170100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137986 (or 4137976 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10022661170100 its reverse (107116622001), we get a palindrome (10129777792101).

The spelling of 10022661170100 in words is "ten trillion, twenty-two billion, six hundred sixty-one million, one hundred seventy thousand, one hundred".