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101220212110010 = 25721249165389801
BaseRepresentation
bin10111000000111100101010…
…110010010111001010111010
3111021101120001121200012202012
4113000330222302113022322
5101231342443300010020
6555135531251005522
730214630134014600
oct2700745262271272
9437346047605665
10101220212110010
112a285283a26714
12b4291a42998a2
134463043042956
141add127877870
15ba7e83b737c5
hex5c0f2ac972ba

101220212110010 has 48 divisors (see below), whose sum is σ = 212112421065000. Its totient is φ = 34676287027200.

The previous prime is 101220212110007. The next prime is 101220212110019. The reversal of 101220212110010 is 10011212022101.

It can be written as a sum of positive squares in 4 ways, for example, as 99660868014841 + 1559344095169 = 9983029^2 + 1248737^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101220212110019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82082891 + ... + 83306910.

Almost surely, 2101220212110010 is an apocalyptic number.

101220212110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220212110010 is an abundant number, since it is smaller than the sum of its proper divisors (110892208954990).

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

101220212110010 is a wasteful number, since it uses less digits than its factorization.

101220212110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165391071 (or 165391064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101220212110010 its reverse (10011212022101), we get a palindrome (111231424132111).

The spelling of 101220212110010 in words is "one hundred one trillion, two hundred twenty billion, two hundred twelve million, one hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1249 2498 6245 8743 12490 17486 43715 61201 87430 122402 306005 612010 165389801 330779602 826949005 1157728607 1653898010 2315457214 5788643035 8104100249 11577286070 16208200498 40520501245 81041002490 206571861449 413143722898 1032859307245 1446003030143 2065718614490 2892006060286 7230015150715 10122021211001 14460030301430 20244042422002 50610106055005 101220212110010