101213202032000 has 128 divisors (see below), whose sum is σ = 253993115918880. Its totient is φ = 40106913024000.

The previous prime is 101213202031969. The next prime is 101213202032029. The reversal of 101213202032000 is 230202312101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101213202032000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101213202032000.

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, 27847931 + ... + 31271930.

Almost surely, 2^{101213202032000} is an apocalyptic number.

101213202032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213202032000 is an abundant number, since it is smaller than the sum of its proper divisors (152779913886880).

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

101213202032000 is an equidigital number, since it uses as much as digits as its factorization.

101213202032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59119997 (or 59119975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101213202032000 its reverse (230202312101), we get a palindrome (101443404344101).

The spelling of 101213202032000 in words is "one hundred one trillion, two hundred thirteen billion, two hundred two million, thirty-two thousand".