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101121002211120 = 2435372893458093
BaseRepresentation
bin10110111111100000010001…
…011010101000011100110000
3111021001001222111202011110120
4112333200101122220130300
5101223231303031223440
6555022202550330240
730204515462544063
oct2677402132503460
9437031874664416
10101121002211120
112a2471a3590241
12b411b17059980
13445689212b578
141ad83d57268da
15ba55c8ea7dd0
hex5bf8116a8730

101121002211120 has 240 divisors, whose sum is σ = 325796441755680. Its totient is φ = 25941997559808.

The previous prime is 101121002211043. The next prime is 101121002211127. The reversal of 101121002211120 is 21112200121101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101121002211120.

It is not an unprimeable number, because it can be changed into a prime (101121002211127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27512794 + ... + 30970886.

It is an arithmetic number, because the mean of its divisors is an integer number (1357485173982).

Almost surely, 2101121002211120 is an apocalyptic number.

101121002211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121002211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162898220877840).

101121002211120 is an abundant number, since it is smaller than the sum of its proper divisors (224675439544560).

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

101121002211120 is a wasteful number, since it uses less digits than its factorization.

101121002211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458272 (or 3458229 counting only the distinct ones).

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

Adding to 101121002211120 its reverse (21112200121101), we get a palindrome (122233202332221).

The spelling of 101121002211120 in words is "one hundred one trillion, one hundred twenty-one billion, two million, two hundred eleven thousand, one hundred twenty".