| Base | Representation |
|---|---|
| bin | 10111000000110011001011… |
| … | …010110011010001010000100 |
| 3 | 111021100120202101022210120110 |
| 4 | 113000303023112122022010 |
| 5 | 101231211110334341400 |
| 6 | 555131124120233020 |
| 7 | 30214116446063100 |
| oct | 2700631326321204 |
| 9 | 437316671283513 |
| 10 | 101210021012100 |
| 11 | 2a280a24359a50 |
| 12 | b42721b30b770 |
| 13 | 44620aa8970c0 |
| 14 | 1adc83c1ac900 |
| 15 | ba7a89118e50 |
| hex | 5c0ccb59a284 |
101210021012100 has 864 divisors, whose sum is σ = 411013618194816. Its totient is φ = 18888223334400.
The previous prime is 101210021012099. The next prime is 101210021012101. The reversal of 101210021012100 is 1210120012101.
It is an interprime number because it is at equal distance from previous prime (101210021012099) and next prime (101210021012101).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (101210021012101) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77127064 + ... + 78428336.
It is an arithmetic number, because the mean of its divisors is an integer number (475710206244).
Almost surely, 2101210021012100 is an apocalyptic number.
101210021012100 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 101210021012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205506809097408).
101210021012100 is an abundant number, since it is smaller than the sum of its proper divisors (309803597182716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101210021012100 is a wasteful number, since it uses less digits than its factorization.
101210021012100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1301365 (or 1301351 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 101210021012100 its reverse (1210120012101), we get a palindrome (102420141024201).
Subtracting from 101210021012100 its reverse (1210120012101), we obtain a palindrome (99999900999999).
The spelling of 101210021012100 in words is "one hundred one trillion, two hundred ten billion, twenty-one million, twelve thousand, one hundred".
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