101102212101000 has 256 divisors, whose sum is σ = 347522257854720. Its totient is φ = 24266956800000.

The previous prime is 101102212100947. The next prime is 101102212101073. The reversal of 101102212101000 is 101212201101.

101102212101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11833849 + ... + 18499848.

It is an arithmetic number, because the mean of its divisors is an integer number (1357508819745).

Almost surely, 2^{101102212101000} is an apocalyptic number.

101102212101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102212101000 is an abundant number, since it is smaller than the sum of its proper divisors (246420045753720).

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

101102212101000 is a wasteful number, since it uses less digits than its factorization.

101102212101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30333833 (or 30333819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102212101000 its reverse (101212201101), we get a palindrome (101203424302101).

It can be divided in two parts, 10110221 and 2101000, that added together give a palindrome (12211221).

The spelling of 101102212101000 in words is "one hundred one trillion, one hundred two billion, two hundred twelve million, one hundred one thousand".