101221212011000 has 128 divisors (see below), whose sum is σ = 237884754744000. Its totient is φ = 40313022400000.

The previous prime is 101221212010999. The next prime is 101221212011077. The reversal of 101221212011000 is 110212122101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730089686 + ... + 730228314.

Almost surely, 2^{101221212011000} is an apocalyptic number.

101221212011000 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 101221212011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118942377372000).

101221212011000 is an abundant number, since it is smaller than the sum of its proper divisors (136663542733000).

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

101221212011000 is a wasteful number, since it uses less digits than its factorization.

101221212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141810 (or 141796 counting only the distinct ones).

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

Adding to 101221212011000 its reverse (110212122101), we get a palindrome (101331424133101).

It can be divided in two parts, 10122121 and 2011000, that added together give a palindrome (12133121).

The spelling of 101221212011000 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twelve million, eleven thousand".