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1020120102201 = 33137436894427
BaseRepresentation
bin11101101100000111110…
…01010111010100111001
310121112002220221111222110
432312003321113110321
5113203201221232301
62100345310042533
7133462345541064
oct16660371272471
93545086844873
101020120102201
113636a3226532
121458581a9449
1375273804a65
14375346738db
151b807d080d6
hexed83e57539

1020120102201 has 32 divisors (see below), whose sum is σ = 1475517902848. Its totient is φ = 625462326720.

The previous prime is 1020120102191. The next prime is 1020120102227. The reversal of 1020120102201 is 1022010210201.

It is not a de Polignac number, because 1020120102201 - 213 = 1020120094009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020120102901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3299251 + ... + 3595176.

It is an arithmetic number, because the mean of its divisors is an integer number (46109934464).

Almost surely, 21020120102201 is an apocalyptic number.

It is an amenable number.

1020120102201 is a deficient number, since it is larger than the sum of its proper divisors (455397800647).

1020120102201 is a wasteful number, since it uses less digits than its factorization.

1020120102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894541.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020120102201 its reverse (1022010210201), we get a palindrome (2042130312402).

The spelling of 1020120102201 in words is "one trillion, twenty billion, one hundred twenty million, one hundred two thousand, two hundred one".

Divisors: 1 3 31 37 43 93 111 129 1147 1333 1591 3441 3999 4773 49321 147963 6894427 20683281 213727237 255093799 296460361 641181711 765281397 889381083 7907907769 9190271191 10969033357 23723723307 27570813573 32907100071 340040034067 1020120102201