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1001220011100 = 22325237831512399
BaseRepresentation
bin11101001000111010101…
…11001111010001011100
310112201022202002102002100
432210131113033101130
5112400444310323400
62043542031325100
7132223110450501
oct16443527172134
93481282072070
101001220011100
1135668465a331
12142062680790
1373550c784ba
14366604a54a8
151b09d906100
hexe91d5cf45c

1001220011100 has 432 divisors, whose sum is σ = 3284889753600. Its totient is φ = 254840256000.

The previous prime is 1001220011081. The next prime is 1001220011119. The reversal of 1001220011100 is 11100221001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001220011081) and next prime (1001220011119).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 417347701 + ... + 417350099.

Almost surely, 21001220011100 is an apocalyptic number.

1001220011100 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 1001220011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642444876800).

1001220011100 is an abundant number, since it is smaller than the sum of its proper divisors (2283669742500).

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

1001220011100 is a wasteful number, since it uses less digits than its factorization.

1001220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001220011100 its reverse (11100221001), we get a palindrome (1012320232101).

The spelling of 1001220011100 in words is "one trillion, one billion, two hundred twenty million, eleven thousand, one hundred".