101130738223200 has 2304 divisors, whose sum is σ = 427544635392000. Its totient is φ = 20654548992000.

The previous prime is 101130738223199. The next prime is 101130738223231. The reversal of 101130738223200 is 2322837031101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26260901275 + ... + 26260905125.

It is an arithmetic number, because the mean of its divisors is an integer number (185566248000).

Almost surely, 2^{101130738223200} is an apocalyptic number.

101130738223200 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 101130738223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213772317696000).

101130738223200 is an abundant number, since it is smaller than the sum of its proper divisors (326413897168800).

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

101130738223200 is a wasteful number, since it uses less digits than its factorization.

101130738223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 101130738223200 in words is "one hundred one trillion, one hundred thirty billion, seven hundred thirty-eight million, two hundred twenty-three thousand, two hundred".