102233131220000 has 480 divisors, whose sum is σ = 277653124159488. Its totient is φ = 36732800000000.

The previous prime is 102233131219969. The next prime is 102233131220083. The reversal of 102233131220000 is 22131332201.

It is a super-2 number, since 2×102233131220000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11576615585 + ... + 11576624415.

Almost surely, 2^{102233131220000} is an apocalyptic number.

102233131220000 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 102233131220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138826562079744).

102233131220000 is an abundant number, since it is smaller than the sum of its proper divisors (175419992939488).

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

102233131220000 is a wasteful number, since it uses less digits than its factorization.

102233131220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102233131220000 its reverse (22131332201), we get a palindrome (102255262552201).

The spelling of 102233131220000 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred thirty-one million, two hundred twenty thousand".