101220001102100 has 144 divisors (see below), whose sum is σ = 220635259689600. Its totient is φ = 40306478284800.

The previous prime is 101220001102091. The next prime is 101220001102201. The reversal of 101220001102100 is 1201100022101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50183440292 + ... + 50183442308.

It is an arithmetic number, because the mean of its divisors is an integer number (1532189303400).

Almost surely, 2^{101220001102100} is an apocalyptic number.

101220001102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220001102100 is an abundant number, since it is smaller than the sum of its proper divisors (119415258587500).

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

101220001102100 is a wasteful number, since it uses less digits than its factorization.

101220001102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101220001102100 its reverse (1201100022101), we get a palindrome (102421101124201).

The spelling of 101220001102100 in words is "one hundred one trillion, two hundred twenty billion, one million, one hundred two thousand, one hundred".