101122100100 has 216 divisors, whose sum is σ = 368382880320. Its totient is φ = 22721783040.

The previous prime is 101122100087. The next prime is 101122100113. The reversal of 101122100100 is 1001221101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101122100087) and next prime (101122100113).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235674 + ... + 507726.

Almost surely, 2^101122100100 is an apocalyptic number.

101122100100 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 101122100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184191440160).

101122100100 is an abundant number, since it is smaller than the sum of its proper divisors (267260780220).

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

101122100100 is a wasteful number, since it uses less digits than its factorization.

101122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272139 (or 272129 counting only the distinct ones).

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

Adding to 101122100100 its reverse (1001221101), we get a palindrome (102123321201).

The spelling of 101122100100 in words is "one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred".