101002211110100 has 72 divisors (see below), whose sum is σ = 231039432842400. Its totient is φ = 38219921712000.

The previous prime is 101002211110093. The next prime is 101002211110103. The reversal of 101002211110100 is 1011112200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002211110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36584690 + ... + 39248489.

It is an arithmetic number, because the mean of its divisors is an integer number (3208881011700).

Almost surely, 2^{101002211110100} is an apocalyptic number.

101002211110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002211110100 is an abundant number, since it is smaller than the sum of its proper divisors (130037221732300).

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

101002211110100 is a wasteful number, since it uses less digits than its factorization.

101002211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75833913 (or 75833906 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101002211110100 its reverse (1011112200101), we get a palindrome (102013323310201).

The spelling of 101002211110100 in words is "one hundred one trillion, two billion, two hundred eleven million, one hundred ten thousand, one hundred".