101133222000 has 320 divisors, whose sum is σ = 342955192320. Its totient is φ = 25603968000.

The previous prime is 101133221941. The next prime is 101133222011. The reversal of 101133222000 is 222331101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 9852871 + ... + 9863129.

It is an arithmetic number, because the mean of its divisors is an integer number (1071734976).

Almost surely, 2^101133222000 is an apocalyptic number.

101133222000 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 101133222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171477596160).

101133222000 is an abundant number, since it is smaller than the sum of its proper divisors (241821970320).

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

101133222000 is a wasteful number, since it uses less digits than its factorization.

101133222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10353 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101133222000 its reverse (222331101), we get a palindrome (101355553101).

The spelling of 101133222000 in words is "one hundred one billion, one hundred thirty-three million, two hundred twenty-two thousand".