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101011102101121 = 1138531047952589
BaseRepresentation
bin10110111101111001111010…
…110110111110111010000001
3111020122120022101022010102011
4112331321322312332322001
5101214431214114213441
6554455505405452521
730163545163200112
oct2675717266767201
9436576271263364
10101011102101121
112a204627866a53
12b3b4765871141
1344493c9537094
15ba27e5a42581

101011102101121 has 8 divisors (see below), whose sum is σ = 102024472352040. Its totient is φ = 99999827757312.

The previous prime is 101011102101109. The next prime is 101011102101131. The reversal of 101011102101121 is 121101201110101.

Adding to 101011102101121 its reverse (121101201110101), we get a palindrome (222112303211222).

It can be written as a sum of positive squares in 4 ways, for example, as 1349535273025 + 99661566828096 = 1161695^2 + 9983064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101011102101121 - 227 = 101010967883393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011102101131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523879906 + ... + 524072683.

It is an arithmetic number, because the mean of its divisors is an integer number (12753059044005).

Almost surely, 2101011102101121 is an apocalyptic number.

It is an amenable number.

101011102101121 is a deficient number, since it is larger than the sum of its proper divisors (1013370250919).

101011102101121 is a wasteful number, since it uses less digits than its factorization.

101011102101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047953555.

The product of its (nonzero) digits is 4, while the sum is 13.

The spelling of 101011102101121 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, one hundred twenty-one".