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102101012020 = 22574316960301
BaseRepresentation
bin101111100010110110…
…0011100111000110100
3100202112121001210220201
41133011230130320310
53133100324341040
6114523215010244
710243105165660
oct1370554347064
9322477053821
10102101012020
113a3343a5577
1217955509984
139821b93117
144d280d18a0
1529c8901a9a
hex17c5b1ce34

102101012020 has 48 divisors (see below), whose sum is σ = 250741104768. Its totient is φ = 34191964800.

The previous prime is 102101011973. The next prime is 102101012029. The reversal of 102101012020 is 20210101201.

102101012020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102101011988 and 102101012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101012029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8474131 + ... + 8486170.

It is an arithmetic number, because the mean of its divisors is an integer number (5223773016).

Almost surely, 2102101012020 is an apocalyptic number.

102101012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101012020 is an abundant number, since it is smaller than the sum of its proper divisors (148640092748).

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

102101012020 is a wasteful number, since it uses less digits than its factorization.

102101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16960360 (or 16960358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101012020 its reverse (20210101201), we get a palindrome (122311113221).

The spelling of 102101012020 in words is "one hundred two billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 16960301 33920602 67841204 84801505 118722107 169603010 237444214 339206020 474888428 593610535 729292943 1187221070 1458585886 2374442140 2917171772 3646464715 5105050601 7292929430 10210101202 14585858860 20420202404 25525253005 51050506010 102101012020