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102222000101221 = 71113980310417207
BaseRepresentation
bin10111001111100001101010…
…000000010001011101100101
3111101221022211221112000001221
4113033201222000101131211
5101344301124011214341
61001224045532220341
730350203312314160
oct2717415200213545
9441838757460057
10102222000101221
112a63111a1538a0
12b56b38500a6b1
134506654885550
141b357dd54cad7
15bc406736eed1
hex5cf86a011765

102222000101221 has 32 divisors (see below), whose sum is σ = 137263132919808. Its totient is φ = 73518806312640.

The previous prime is 102222000101219. The next prime is 102222000101257. The reversal of 102222000101221 is 122101000222201.

It is a happy number.

It is not a de Polignac number, because 102222000101221 - 21 = 102222000101219 is a prime.

It is a super-2 number, since 2×1022220001012212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102222000101195 and 102222000101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222000101281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4604200 + ... + 15021406.

It is an arithmetic number, because the mean of its divisors is an integer number (4289472903744).

Almost surely, 2102222000101221 is an apocalyptic number.

102222000101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102222000101221 is a deficient number, since it is larger than the sum of its proper divisors (35041132818587).

102222000101221 is a wasteful number, since it uses less digits than its factorization.

102222000101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427041.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102222000101221 its reverse (122101000222201), we get a palindrome (224323000323422).

The spelling of 102222000101221 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 9803 68621 107833 127439 754831 892073 1401829 9812803 10417207 72920449 114589277 135423691 802124939 947965837 1489660601 10427624207 102119880221 714839161547 1123318682431 1327558442873 7863230777017 9292909100111 14603142871603 102222000101221