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121122021101001 = 3793812891340357
BaseRepresentation
bin11011100010100011101011…
…000010101100110111001001
3120212212011002220102122021120
4123202203223002230313021
5111333430344400213001
61105334404403025453
734340530411163304
oct3342435302546711
9525764086378246
10121122021101001
11356586192a3328
121170231396b289
1352779b053450b
1421ca4a100bb3b
15e009dd502236
hex6e28eb0acdc9

121122021101001 has 16 divisors (see below), whose sum is σ = 163540832582400. Its totient is φ = 79725618730368.

The previous prime is 121122021100957. The next prime is 121122021101047. The reversal of 121122021101001 is 100101120221121.

It is a happy number.

It is not a de Polignac number, because 121122021101001 - 222 = 121122016906697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121122021102001) 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, 89695315 + ... + 91035671.

It is an arithmetic number, because the mean of its divisors is an integer number (10221302036400).

Almost surely, 2121122021101001 is an apocalyptic number.

It is an amenable number.

121122021101001 is a deficient number, since it is larger than the sum of its proper divisors (42418811481399).

121122021101001 is a wasteful number, since it uses less digits than its factorization.

121122021101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721728.

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

Adding to 121122021101001 its reverse (100101120221121), we get a palindrome (221223141322122).

The spelling of 121122021101001 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred one thousand, one".

Divisors: 1 3 79 237 381289 1143867 1340357 4021071 30121831 90365493 105888203 317664609 511063380173 1533190140519 40374007033667 121122021101001