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101001100000 = 25553121051
BaseRepresentation
bin101111000010000100…
…0100111101011100000
3100122200221101111021111
41132010020213223200
53123322240200000
6114222124033104
710203621120253
oct1360410475340
9318627344244
10101001100000
113991a540379
12176a9092794
1396a80434c8
144c61db709a
152962086cba
hex1784227ae0

101001100000 has 216 divisors, whose sum is σ = 257061937608. Its totient is φ = 39060000000.

The previous prime is 101001099967. The next prime is 101001100003. The reversal of 101001100000 is 1100101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96099475 + ... + 96100525.

It is an arithmetic number, because the mean of its divisors is an integer number (1190101563).

Almost surely, 2101001100000 is an apocalyptic number.

101001100000 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 101001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128530968804).

101001100000 is an abundant number, since it is smaller than the sum of its proper divisors (156060837608).

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

101001100000 is an frugal number, since it uses more digits than its factorization.

101001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101001100000 its reverse (1100101), we get a palindrome (101002200101).

The spelling of 101001100000 in words is "one hundred one billion, one million, one hundred thousand".