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1001100102001 = 5942149698111
BaseRepresentation
bin11101001000101100011…
…01110100100101110001
310112201000101110101201121
432210112031310211301
5112400223111231001
62043522105302241
7132220123315336
oct16442615644561
93481011411647
101001100102001
113566229aa8aa
1214202a494981
1373532183a7c
143664c5b098d
151b09311c6a1
hexe916374971

1001100102001 has 16 divisors (see below), whose sum is σ = 1020817324800. Its totient is φ = 981476092800.

The previous prime is 1001100101983. The next prime is 1001100102011. The reversal of 1001100102001 is 1002010011001.

1001100102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001100102001 - 213 = 1001100093809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100102011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123420936 + ... + 123429046.

It is an arithmetic number, because the mean of its divisors is an integer number (63801082800).

Almost surely, 21001100102001 is an apocalyptic number.

It is an amenable number.

1001100102001 is a deficient number, since it is larger than the sum of its proper divisors (19717222799).

1001100102001 is an equidigital number, since it uses as much as digits as its factorization.

1001100102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13560.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001100102001 its reverse (1002010011001), we get a palindrome (2003110113002).

The spelling of 1001100102001 in words is "one trillion, one billion, one hundred million, one hundred two thousand, one".

Divisors: 1 59 421 4969 8111 24839 293171 478549 2091949 3414731 40303559 123424991 201469129 2377909981 16967798339 1001100102001