101021222101100 has 162 divisors, whose sum is σ = 258648717336660. Its totient is φ = 34148010388800.

The previous prime is 101021222101097. The next prime is 101021222101127. The reversal of 101021222101100 is 1101222120101.

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

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 53 ways as a sum of consecutive naturals, for example, 22656011 + ... + 26745789.

Almost surely, 2^{101021222101100} is an apocalyptic number.

101021222101100 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 101021222101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129324358668330).

101021222101100 is an abundant number, since it is smaller than the sum of its proper divisors (157627495235560).

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

101021222101100 is a wasteful number, since it uses less digits than its factorization.

101021222101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089949 (or 4089864 counting only the distinct ones).

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

Adding to 101021222101100 its reverse (1101222120101), we get a palindrome (102122444221201).

The spelling of 101021222101100 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred".