10101122100 has 108 divisors (see below), whose sum is σ = 32517226924. Its totient is φ = 2620823040.

The previous prime is 10101122099. The next prime is 10101122111. The reversal of 10101122100 is 122110101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1520064144 + 8581057956 = 38988^2 + 92634^2 .

It is a super-3 number, since 3×10101122100³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118369 + ... + 184968.

Almost surely, 2^10101122100 is an apocalyptic number.

10101122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101122100 is an abundant number, since it is smaller than the sum of its proper divisors (22416104824).

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

10101122100 is a wasteful number, since it uses less digits than its factorization.

10101122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303394 (or 303384 counting only the distinct ones).

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

Adding to 10101122100 its reverse (122110101), we get a palindrome (10223232201).

The spelling of 10101122100 in words is "ten billion, one hundred one million, one hundred twenty-two thousand, one hundred".