101202132231000 has 384 divisors, whose sum is σ = 352351006637760. Its totient is φ = 26179905024000.

The previous prime is 101202132230999. The next prime is 101202132231091. The reversal of 101202132231000 is 132231202101.

101202132231000 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 21 + 322 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×101202132231000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111770095 + ... + 112671905.

Almost surely, 2^{101202132231000} is an apocalyptic number.

101202132231000 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 101202132231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176175503318880).

101202132231000 is an abundant number, since it is smaller than the sum of its proper divisors (251148874406760).

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

101202132231000 is a wasteful number, since it uses less digits than its factorization.

101202132231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902212 (or 902195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101202132231000 its reverse (132231202101), we get a palindrome (101334363433101).

The spelling of 101202132231000 in words is "one hundred one trillion, two hundred two billion, one hundred thirty-two million, two hundred thirty-one thousand".