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101012101210212 = 223215336371074991
BaseRepresentation
bin10110111101111010110110…
…011010010010000001100100
3111020122122220000022010102120
4112331322312122102001210
5101214440240402211322
6554500152500105540
730163612014400443
oct2675726632220144
9436578800263376
10101012101210212
112a204a9a831445
12b3b49a43952b0
1344495285218aa
141ad30244a0d5a
15ba28535e9a5c
hex5bdeb6692064

101012101210212 has 48 divisors (see below), whose sum is σ = 235869429879552. Its totient is φ = 33645776613120.

The previous prime is 101012101210199. The next prime is 101012101210249. The reversal of 101012101210212 is 212012101210101.

It is a happy number.

It is a super-2 number, since 2×1010121012102122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012101210191 and 101012101210200.

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, 93428037 + ... + 94503027.

It is an arithmetic number, because the mean of its divisors is an integer number (4913946455824).

Almost surely, 2101012101210212 is an apocalyptic number.

101012101210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012101210212 is an abundant number, since it is smaller than the sum of its proper divisors (134857328669340).

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

101012101210212 is a wasteful number, since it uses less digits than its factorization.

101012101210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080788 (or 1080786 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101012101210212 its reverse (212012101210101), we get a palindrome (313024202420313).

The spelling of 101012101210212 in words is "one hundred one trillion, twelve billion, one hundred one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 2153 3637 4306 6459 7274 8612 10911 12918 14548 21822 25836 43644 1074991 2149982 3224973 4299964 6449946 7830461 12899892 15660922 23491383 31321844 46982766 93965532 2314455623 3909742267 4628911246 6943366869 7819484534 9257822492 11729226801 13886733738 15638969068 23458453602 27773467476 46916907204 8417675100851 16835350201702 25253025302553 33670700403404 50506050605106 101012101210212