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101201212122010 = 257111310110011201
BaseRepresentation
bin10111000000101010111110…
…010011001010001110011010
3111021022202000110211211001221
4113000222332103022032122
5101231040040300401020
6555123110043202254
730213355243541560
oct2700527623121632
9437282013754057
10101201212122010
112a278213a294a0
12b42558121638a
1344613058aa7c0
141adc244303a30
15ba7720adc6aa
hex5c0abe4ca39a

101201212122010 has 64 divisors (see below), whose sum is σ = 244581390998784. Its totient is φ = 29116832256000.

The previous prime is 101201212121969. The next prime is 101201212122061. The reversal of 101201212122010 is 10221212102101.

It is an unprimeable number.

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, 5054995591 + ... + 5055015610.

It is an arithmetic number, because the mean of its divisors is an integer number (3821584234356).

Almost surely, 2101201212122010 is an apocalyptic number.

101201212122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101201212122010 is an abundant number, since it is smaller than the sum of its proper divisors (143380178876774).

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

101201212122010 is a wasteful number, since it uses less digits than its factorization.

101201212122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110011239.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101201212122010 its reverse (10221212102101), we get a palindrome (111422424224111).

The spelling of 101201212122010 in words is "one hundred one trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 10110011201 20220022402 50550056005 70770078407 101100112010 111210123211 131430145613 141540156814 222420246422 262860291226 353850392035 556050616055 657150728065 707700784070 778470862477 920011019291 1112101232110 1314301456130 1445731601743 1556941724954 1840022038582 2891463203486 3892354312385 4600055096455 7228658008715 7784708624770 9200110192910 10120121212201 14457316017430 20240242424402 50600606061005 101201212122010