101121201212000 has 96 divisors (see below), whose sum is σ = 250914740809824. Its totient is φ = 40048000320000.

The previous prime is 101121201211967. The next prime is 101121201212047. The reversal of 101121201212000 is 212102121101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124746002 + ... + 125554001.

It is an arithmetic number, because the mean of its divisors is an integer number (2613695216769).

Almost surely, 2^{101121201212000} is an apocalyptic number.

101121201212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121201212000 is an abundant number, since it is smaller than the sum of its proper divisors (149793539597824).

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

101121201212000 is a wasteful number, since it uses less digits than its factorization.

101121201212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250300129 (or 250300111 counting only the distinct ones).

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

Adding to 101121201212000 its reverse (212102121101), we get a palindrome (101333303333101).

The spelling of 101121201212000 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred twelve thousand".