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1102100110020 = 22325721337259781
BaseRepresentation
bin10000000010011010010…
…010010001101011000100
310220100201020210102002100
4100002122102101223010
5121024100112010040
62202144154112100
7142424032240200
oct20023222215304
93810636712070
101102100110020
11395441864808
1215971711b630
137cc09c04220
143b4b0381b00
151da0503ab30
hex1009a491ac4

1102100110020 has 432 divisors, whose sum is σ = 4301185634928. Its totient is φ = 226245519360.

The previous prime is 1102100109989. The next prime is 1102100110021. The reversal of 1102100110020 is 200110012011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 137194678404 + 964905431616 = 370398^2 + 982296^2 .

It is a super-2 number, since 2×11021001100202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1102100109984 and 1102100110011.

It is not an unprimeable number, because it can be changed into a prime (1102100110021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4112530 + ... + 4372310.

It is an arithmetic number, because the mean of its divisors is an integer number (9956448229).

Almost surely, 21102100110020 is an apocalyptic number.

1102100110020 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 1102100110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150592817464).

1102100110020 is an abundant number, since it is smaller than the sum of its proper divisors (3199085524908).

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

1102100110020 is a wasteful number, since it uses less digits than its factorization.

1102100110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259860 (or 259848 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1102100110020 its reverse (200110012011), we get a palindrome (1302210122031).

The spelling of 1102100110020 in words is "one trillion, one hundred two billion, one hundred million, one hundred ten thousand, twenty".