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101211000012012 = 22311984297789879
BaseRepresentation
bin10111000000110100000101…
…101100111111110011101100
3111021100200021121111010222110
4113000310011230333303230
5101231220112000341022
6555131405211444020
730214152634331202
oct2700640554776354
9437320247433873
10101211000012012
112a281386a3a090
12b427453156610
1344622056608a7
141adc8d2211072
15ba7ae504d00c
hex5c0d05b3fcec

101211000012012 has 48 divisors (see below), whose sum is σ = 257630650502400. Its totient is φ = 30669684471360.

The previous prime is 101211000011969. The next prime is 101211000012091. The reversal of 101211000012012 is 210210000112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9097689 + ... + 16887567.

It is an arithmetic number, because the mean of its divisors is an integer number (5367305218800).

Almost surely, 2101211000012012 is an apocalyptic number.

101211000012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211000012012 is an abundant number, since it is smaller than the sum of its proper divisors (156419650490388).

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

101211000012012 is a wasteful number, since it uses less digits than its factorization.

101211000012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888326 (or 7888324 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211000012012 its reverse (210210000112101), we get a palindrome (311421000124113).

The spelling of 101211000012012 in words is "one hundred one trillion, two hundred eleven billion, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 98429 196858 295287 393716 590574 1082719 1181148 2165438 3248157 4330876 6496314 7789879 12992628 15579758 23369637 31159516 46739274 85688669 93478548 171377338 257066007 342754676 514132014 1028264028 766750000091 1533500000182 2300250000273 3067000000364 4600500000546 8434250001001 9201000001092 16868500002002 25302750003003 33737000004004 50605500006006 101211000012012