101322202100 has 144 divisors (see below), whose sum is σ = 254298390528. Its totient is φ = 34323212160.

The previous prime is 101322202097. The next prime is 101322202133. The reversal of 101322202100 is 1202223101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37706957 + ... + 37709643.

Almost surely, 2^101322202100 is an apocalyptic number.

101322202100 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 101322202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127149195264).

101322202100 is an abundant number, since it is smaller than the sum of its proper divisors (152976188428).

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

101322202100 is a wasteful number, since it uses less digits than its factorization.

101322202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101322202100 its reverse (1202223101), we get a palindrome (102524425201).

The spelling of 101322202100 in words is "one hundred one billion, three hundred twenty-two million, two hundred two thousand, one hundred".