101102211220100 has 54 divisors (see below), whose sum is σ = 233056339487790. Its totient is φ = 38062008919040.

The previous prime is 101102211220067. The next prime is 101102211220139. The reversal of 101102211220100 is 1022112201101.

It can be written as a sum of positive squares in 9 ways, for example, as 33845121334336 + 67257089885764 = 5817656^2 + 8201042^2 .

It is a super-2 number, since 2×101102211220100² (a number of 29 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 1749144305 + ... + 1749202104.

Almost surely, 2^{101102211220100} is an apocalyptic number.

101102211220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102211220100 is an abundant number, since it is smaller than the sum of its proper divisors (131954128267690).

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

101102211220100 is a wasteful number, since it uses less digits than its factorization.

101102211220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498346457 (or 3498346433 counting only the distinct ones).

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

Adding to 101102211220100 its reverse (1022112201101), we get a palindrome (102124323421201).

The spelling of 101102211220100 in words is "one hundred one trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, one hundred".