110202210112100 has 18 divisors (see below), whose sum is σ = 239138795943474. Its totient is φ = 44080884044800.

The previous prime is 110202210112097. The next prime is 110202210112103. The reversal of 110202210112100 is 1211012202011.

It is an interprime number because it is at equal distance from previous prime (110202210112097) and next prime (110202210112103).

It can be written as a sum of positive squares in 3 ways, for example, as 24832999825984 + 85369210286116 = 4983272^2 + 9239546^2 .

It is a super-2 number, since 2×110202210112100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110202210112103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 551011050461 + ... + 551011050660.

Almost surely, 2^{110202210112100} is an apocalyptic number.

110202210112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110202210112100 is an abundant number, since it is smaller than the sum of its proper divisors (128936585831374).

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

110202210112100 is a wasteful number, since it uses less digits than its factorization.

110202210112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102022101135 (or 1102022101128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110202210112100 its reverse (1211012202011), we get a palindrome (111413222314111).

The spelling of 110202210112100 in words is "one hundred ten trillion, two hundred two billion, two hundred ten million, one hundred twelve thousand, one hundred".