101222545104000 has 512 divisors, whose sum is σ = 375682663699200. Its totient is φ = 26786612736000.

The previous prime is 101222545103983. The next prime is 101222545104007. The reversal of 101222545104000 is 401545222101.

It is a happy number.

101222545104000 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 254 + 5 + 1 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101222545104007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55697682 + ... + 57486318.

Almost surely, 2^{101222545104000} is an apocalyptic number.

101222545104000 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 101222545104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187841331849600).

101222545104000 is an abundant number, since it is smaller than the sum of its proper divisors (274460118595200).

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

101222545104000 is a wasteful number, since it uses less digits than its factorization.

101222545104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788806 (or 1788778 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 101222545104000 in words is "one hundred one trillion, two hundred twenty-two billion, five hundred forty-five million, one hundred four thousand".