101454351220200 has 384 divisors, whose sum is σ = 364881396096000. Its totient is φ = 23060306534400.

The previous prime is 101454351220177. The next prime is 101454351220213. The reversal of 101454351220200 is 2022153454101.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7993461 + ... + 16334139.

It is an arithmetic number, because the mean of its divisors is an integer number (950211969000).

Almost surely, 2^{101454351220200} is an apocalyptic number.

101454351220200 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 101454351220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182440698048000).

101454351220200 is an abundant number, since it is smaller than the sum of its proper divisors (263427044875800).

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

101454351220200 is a wasteful number, since it uses less digits than its factorization.

101454351220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340825 (or 8340816 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 101454351220200 in words is "one hundred one trillion, four hundred fifty-four billion, three hundred fifty-one million, two hundred twenty thousand, two hundred".