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1002101212100 = 225210021012121
BaseRepresentation
bin11101001010100011110…
…00110000001111000100
310112210121011020001121102
432211101320300033010
5112404300402241400
62044205310435232
7132254000521562
oct16452170601704
93483534201542
101002101212100
11356a9701171a
12142269802b18
13736616bc301
143670552aa32
151b100e6c9d5
hexe951e303c4

1002101212100 has 18 divisors (see below), whose sum is σ = 2174559630474. Its totient is φ = 400840484800.

The previous prime is 1002101212097. The next prime is 1002101212157. The reversal of 1002101212100 is 12121012001.

It can be written as a sum of positive squares in 3 ways, for example, as 34097099716 + 968004112384 = 184654^2 + 983872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5010505961 + ... + 5010506160.

Almost surely, 21002101212100 is an apocalyptic number.

1002101212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101212100 is an abundant number, since it is smaller than the sum of its proper divisors (1172458418374).

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

1002101212100 is a wasteful number, since it uses less digits than its factorization.

1002101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021012135 (or 10021012128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002101212100 its reverse (12121012001), we get a palindrome (1014222224101).

The spelling of 1002101212100 in words is "one trillion, two billion, one hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10021012121 20042024242 40084048484 50105060605 100210121210 200420242420 250525303025 501050606050 1002101212100